Wave Motion最新文献_第2页

Study on acoustic radiation force of a viscoelastic spherical shell in a zero-order Mathieu beam 零阶Mathieu梁中粘弹性球壳的声辐射力研究

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2026-01-14 DOI: 10.1016/j.wavemoti.2026.103703

Junxin Li , Jiajia Qu , Yupei Qiao , Xiaofeng Zhang , Guangbin Zhang

This paper studies the three-dimensional acoustic radiation force (ARF) of a fluid-filled viscoelastic spherical shell positioned arbitrarily in a zero-order Mathieu beam(zMB). A series of simulations were conducted to undertake a systematic investigation of the ARF of the shell, with a particular emphasis on the effects of beam parameters (dimensionless frequency, half-cone angle, ellipticity parameter) and material parameters (shell material, filling medium, relative thickness, particle position). The results demonstrated that increasing the ellipticity parameter

q

has the effect of reducing the amplitudes of both the transverse force and axial force, whilst concomitantly shifting the peak of transverse force towards larger half-cone angles. Due to the asymmetric distribution of the acoustic field, the transverse force in y-axial direction displays a distinct variation pattern in comparison to that in x-axial direction. Furthermore, the material and structural properties of the particles have been found to have a significant impact on ARF. Thick shells (

h \sim 0.5

) yield substantial ARF with a pattern analogous to solid spheres, while thin shells show reduced ARF magnitude and fewer frequency peaks. The fluid filling the shell also exerts a substantial influence on both the trend and the magnitude of variations of ARF. Moreover, the position of the particle in the beam exerts an influence on the ARF function. When the particle is close to the beam axis, it is displaced from the beam axis in the transverse plane. Conversely, when the particle is at a greater distance from the beam axis, the ARF exerts a force that draws the particle towards the beam axis. This study provides key theoretical support for the directional manipulation of viscoelastic structural particles in a zMB, facilitating its potential applications in acoustic tweezers, targeted drug delivery, and microfluidic sorting.

本文研究了任意放置于零阶马蒂厄梁（zMB）中的充液粘弹性球壳的三维声辐射力。通过一系列的数值模拟，系统地研究了壳体的ARF，重点研究了梁参数（无量纲频率、半锥角、椭圆度参数）和材料参数（壳体材料、填充介质、相对厚度、颗粒位置）对ARF的影响。结果表明，增大椭圆度参数q可以减小横向力和轴向力的幅值，同时横向力的峰值向更大的半锥角移动。由于声场分布的不对称，相对于x轴方向的横向力，y轴方向的横向力表现出明显的变化规律。此外，颗粒的材料和结构特性对ARF有重要影响。厚壳层（h ~ 0.5）产生大量的ARF，其模式类似于固体球体，而薄壳层显示出较小的ARF幅度和更少的频率峰。填充壳体的流体对ARF的变化趋势和幅度也有很大的影响。此外，粒子在光束中的位置对ARF函数也有影响。当粒子靠近光束轴时，它在横向平面上与光束轴发生位移。相反，当粒子距离光束轴较远时，ARF施加一个力，将粒子拉向光束轴。该研究为zMB中粘弹性结构颗粒的定向操纵提供了关键的理论支持，促进了其在声学镊子、靶向药物输送和微流体分选方面的潜在应用。

{"title":"Study on acoustic radiation force of a viscoelastic spherical shell in a zero-order Mathieu beam","authors":"Junxin Li , Jiajia Qu , Yupei Qiao , Xiaofeng Zhang , Guangbin Zhang","doi":"10.1016/j.wavemoti.2026.103703","DOIUrl":"10.1016/j.wavemoti.2026.103703","url":null,"abstract":"<div><div>This paper studies the three-dimensional acoustic radiation force (ARF) of a fluid-filled viscoelastic spherical shell positioned arbitrarily in a zero-order Mathieu beam(zMB). A series of simulations were conducted to undertake a systematic investigation of the ARF of the shell, with a particular emphasis on the effects of beam parameters (dimensionless frequency, half-cone angle, ellipticity parameter) and material parameters (shell material, filling medium, relative thickness, particle position). The results demonstrated that increasing the ellipticity parameter <span><math><mi>q</mi></math></span> has the effect of reducing the amplitudes of both the transverse force and axial force, whilst concomitantly shifting the peak of transverse force towards larger half-cone angles. Due to the asymmetric distribution of the acoustic field, the transverse force in y-axial direction displays a distinct variation pattern in comparison to that in x-axial direction. Furthermore, the material and structural properties of the particles have been found to have a significant impact on ARF. Thick shells (<span><math><mrow><mi>h</mi><mo>∼</mo><mn>0.5</mn></mrow></math></span>) yield substantial ARF with a pattern analogous to solid spheres, while thin shells show reduced ARF magnitude and fewer frequency peaks. The fluid filling the shell also exerts a substantial influence on both the trend and the magnitude of variations of ARF. Moreover, the position of the particle in the beam exerts an influence on the ARF function. When the particle is close to the beam axis, it is displaced from the beam axis in the transverse plane. Conversely, when the particle is at a greater distance from the beam axis, the ARF exerts a force that draws the particle towards the beam axis. This study provides key theoretical support for the directional manipulation of viscoelastic structural particles in a zMB, facilitating its potential applications in acoustic tweezers, targeted drug delivery, and microfluidic sorting.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103703"},"PeriodicalIF":2.5,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146037319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Wave propagation in angle regulated canonical quasicrystalline-generated laminates 角调节规范准晶层压板中的波传播

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2026-01-10 DOI: 10.1016/j.wavemoti.2026.103701

Yi An , Zhijiang Chen

Since the dispersion spectrum of periodic structures is usually determined by physical and geometric parameters, their bandgap characteristics remain unchanged after the metamaterial is designed, significantly limiting the application scenarios of this waveguide. How to actively control its working frequency is an essential and valuable topic. We investigate the propagation of harmonic anti-plane shear waves in the case of oblique incidence in periodic two-phase phononic laminates whose elementary cells are designed according to the quasicrystalline standard Fibonacci substitution rule. A trace-map formalism, providing a geometrical representation of the recursive rule governing the traces of three relevant transmission matrices, is used to study the resulting dynamic spectra. The traces of three consecutive elementary cells can be represented as a point on the surface and recursivity conveys the description of a discrete orbit on the surface. In analogy with the past 1D periodic structure, we show that for specific dispersion layouts of the elementary cell (the canonical configurations), the stop-/pass-band diagrams along the frequency domain are periodic. In addition, the dispersion layouts and associated canonical frequencies can be adjusted by regulation wave incident angles, which also leads to a variation of impedance mismatch. Therefore, the switch-on-off ability for wave propagation with certain frequencies is presented. Several periodic orbits exist and each corresponds to a self-similar portion of the dynamic spectra whose scaling law can be studied by linearising the trace map in the neighbourhood of the orbit. Our results provide an innovative method to actively excite and tune bandgap layouts for elastic waves, which may be profitably exploited for the realisation of elastic metamaterials.

由于周期结构的色散谱通常由物理和几何参数决定，因此在设计出超材料后，其带隙特性保持不变，这极大地限制了该波导的应用场景。如何主动控制其工作频率是一个重要而有价值的课题。本文研究了斜入射下谐波反平面横波在周期两相声子层板中的传播，该层板的基本单元是根据准晶标准斐波那契替换规则设计的。一个轨迹图的形式，提供了一个几何表示的递归规则控制三个相关的传输矩阵的轨迹，被用来研究产生的动态光谱。三个连续的基本单元的轨迹可以表示为表面上的一个点，递归性传达了表面上离散轨道的描述。与过去的一维周期结构类似，我们表明，对于基本单元的特定色散布局（规范配置），沿频域的阻/通带图是周期性的。此外，通过调节波入射角可以调整色散布局和相关的规范频率，这也导致了阻抗失配的变化。因此，提出了一定频率下波传播的通断能力。存在几个周期轨道，每个周期轨道对应于动态光谱的自相似部分，其标度规律可以通过线性化轨道附近的迹图来研究。我们的研究结果提供了一种创新的方法来主动激发和调整弹性波的带隙布局，这可能有利于实现弹性超材料。

{"title":"Wave propagation in angle regulated canonical quasicrystalline-generated laminates","authors":"Yi An , Zhijiang Chen","doi":"10.1016/j.wavemoti.2026.103701","DOIUrl":"10.1016/j.wavemoti.2026.103701","url":null,"abstract":"<div><div>Since the dispersion spectrum of periodic structures is usually determined by physical and geometric parameters, their bandgap characteristics remain unchanged after the metamaterial is designed, significantly limiting the application scenarios of this waveguide. How to actively control its working frequency is an essential and valuable topic. We investigate the propagation of harmonic anti-plane shear waves in the case of oblique incidence in periodic two-phase phononic laminates whose elementary cells are designed according to the quasicrystalline standard Fibonacci substitution rule. A trace-map formalism, providing a geometrical representation of the recursive rule governing the traces of three relevant transmission matrices, is used to study the resulting dynamic spectra. The traces of three consecutive elementary cells can be represented as a point on the surface and recursivity conveys the description of a discrete orbit on the surface. In analogy with the past 1D periodic structure, we show that for specific dispersion layouts of the elementary cell (the <em>canonical</em> configurations), the stop-/pass-band diagrams along the frequency domain are periodic. In addition, the dispersion layouts and associated canonical frequencies can be adjusted by regulation wave incident angles, which also leads to a variation of impedance mismatch. Therefore, the switch-on-off ability for wave propagation with certain frequencies is presented. Several periodic orbits exist and each corresponds to a self-similar portion of the dynamic spectra whose scaling law can be studied by linearising the trace map in the neighbourhood of the orbit. Our results provide an innovative method to actively excite and tune bandgap layouts for elastic waves, which may be profitably exploited for the realisation of elastic metamaterials.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103701"},"PeriodicalIF":2.5,"publicationDate":"2026-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145976734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Exploring nonlinear wave dynamics through an extended (2+1)-dimensional nonlinear evolution equation: Integrability and pfaffian solutions 通过扩展的（2+1）维非线性演化方程探索非线性波动动力学：可积性和pfaffian解

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2026-01-08 DOI: 10.1016/j.wavemoti.2026.103700

Majid Madadi , Mustafa Inc , Harun Bicer , Ebru Cavlak Aslan

This paper introduces a generalized (2+1)-dimensional nonlinear evolution equation, extending the classical Hirota bilinear framework to investigate novel aspects of nonlinear wave dynamics. By employing a combination of the Hirota bilinear method and the Pfaffian formulation, we systematically derive a rich variety of exact solutions, including multi-soliton waves, breathers, lump, periodic solutions, and complex hybrid structures. The study also examines the integrability of the proposed model, revealing that despite failing the Painlevé test, the equation admits integrability in the solitonic sense. The results highlight the model’s broad adaptability and its promise for use in diverse scientific fields, including nonlinear optical systems, fluid dynamics, and plasma research.

本文引入一个广义的（2+1）维非线性演化方程，扩展了经典的Hirota双线性框架来研究非线性波动动力学的新方面。通过将Hirota双线性方法与Pfaffian公式相结合，我们系统地导出了多种精确解，包括多孤子波、呼吸子、块、周期解和复杂的混合结构。该研究还检查了所提出模型的可积性，揭示了尽管没有通过painlev测试，但该方程在孤子意义上承认可积性。结果突出了该模型的广泛适应性及其在各种科学领域的应用前景，包括非线性光学系统、流体动力学和等离子体研究。

引用次数: 0

Research on a leakage localization model of HDPE membranes based on ultrasonic principles 基于超声原理的HDPE膜泄漏定位模型研究

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2026-01-07 DOI: 10.1016/j.wavemoti.2026.103699

Yayu Chen , Tianhang Ma , Weimin Zhang , Kai Wang , Shijun Bi

To address the challenges of low accuracy and poor timeliness in leak detection for high-density polyethylene (HDPE) membranes in a landfill, this paper proposes a novel localization model based on Ultrasonic Lamb waves. The method leverages sparse decomposition theory combined with a particle swarm optimization algorithm for denoising weak reflection signals and accurately estimating energy attenuation parameters. An over-complete dictionary matching the ultrasonic signal structure was constructed to isolate damage-related features from noise. By defining a damage index (DI_p) and employing a damage probability imaging algorithm, the model achieves precise leak localization. Experimental results demonstrate that the proposed method significantly enhances the damage index resolution compared to traditional wavelet analysis, with average localization errors of 2.6 mm for single leaks and 6.4 mm for double leaks, representing error reductions of 68.2 % and 54.0 %, respectively.

针对垃圾填埋场高密度聚乙烯（HDPE）膜泄漏检测精度低、及时性差的问题，提出了一种基于超声兰姆波的定位模型。该方法利用稀疏分解理论结合粒子群优化算法对弱反射信号进行去噪，准确估计能量衰减参数。构建了一个匹配超声信号结构的过完备字典，将损伤相关特征从噪声中分离出来。该模型通过定义损伤指数（DIp）并采用损伤概率成像算法，实现了泄漏的精确定位。实验结果表明，与传统的小波分析方法相比，该方法显著提高了损伤指标的分辨率，单个泄漏的平均定位误差为2.6 mm，双泄漏的平均定位误差为6.4 mm，误差分别降低了68.2%和54.0%。

引用次数: 0

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2026-01-01

引用次数: 0

The effects of nonlinear jetting in super resolution focusing of sound among a Helmholtz resonator array 非线性射流对亥姆霍兹谐振器阵列超分辨聚焦声的影响

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-12-31 DOI: 10.1016/j.wavemoti.2025.103698

Mark R. Carlisle, Brian E. Anderson

Time reversal (TR) is a technique used to focus wave energy to a selected location. High energy TR focusing has application in biomedical ultrasound and nondestructive evaluation of cracks or defects in solids. These applications can benefit from having the narrowest possible spatial extent of the focused sound energy, which is normally diffraction limited. Two-dimensional Helmholtz resonator arrays placed in the near field of TR focusing have been shown to produce a sub-diffraction limited spatial extent of the focused energy (when compared to the free-space wavelength). There is an apparent amplitude dependence to this focusing and this paper will discuss these nonlinear aspects. These observations were made by analyzing experimental results of TR focusing among an array of empty soda cans at different sound excitation levels. These nonlinear effects occur at much lower sound levels than is typical for nonlinear waveform steepening. The conclusion is made that the nonlinear observations are acoustic nonlinearities and are likely caused by acoustic jetting in Helmholtz resonators and this principally causes the amplitude of the focusing to be as much as three times lower in amplitude than linear scaling would predict and causes the spatial extent of the focusing to increase somewhat.

时间反转（TR）是一种将波能集中到选定位置的技术。高能TR聚焦在生物医学超声和固体裂纹或缺陷的无损检测中有着广泛的应用。这些应用可以受益于具有尽可能窄的空间范围聚焦声能，这通常是衍射限制。放置在TR聚焦近场的二维亥姆霍兹谐振器阵列已被证明产生亚衍射有限的聚焦能量空间范围（与自由空间波长相比）。这种聚焦有明显的振幅依赖性，本文将讨论这些非线性方面。通过分析不同声激励水平下一组空易拉罐间的TR聚焦实验结果，得出了上述结论。这些非线性效应发生在比典型的非线性波形陡增低得多的声级上。得出结论：非线性观测是声学非线性，可能是由亥姆霍兹谐振腔内的声喷射引起的，这主要导致聚焦的幅度比线性标度预测的幅度低3倍，并导致聚焦的空间范围有所增加。

{"title":"The effects of nonlinear jetting in super resolution focusing of sound among a Helmholtz resonator array","authors":"Mark R. Carlisle, Brian E. Anderson","doi":"10.1016/j.wavemoti.2025.103698","DOIUrl":"10.1016/j.wavemoti.2025.103698","url":null,"abstract":"<div><div>Time reversal (TR) is a technique used to focus wave energy to a selected location. High energy TR focusing has application in biomedical ultrasound and nondestructive evaluation of cracks or defects in solids. These applications can benefit from having the narrowest possible spatial extent of the focused sound energy, which is normally diffraction limited. Two-dimensional Helmholtz resonator arrays placed in the near field of TR focusing have been shown to produce a sub-diffraction limited spatial extent of the focused energy (when compared to the free-space wavelength). There is an apparent amplitude dependence to this focusing and this paper will discuss these nonlinear aspects. These observations were made by analyzing experimental results of TR focusing among an array of empty soda cans at different sound excitation levels. These nonlinear effects occur at much lower sound levels than is typical for nonlinear waveform steepening. The conclusion is made that the nonlinear observations are acoustic nonlinearities and are likely caused by acoustic jetting in Helmholtz resonators and this principally causes the amplitude of the focusing to be as much as three times lower in amplitude than linear scaling would predict and causes the spatial extent of the focusing to increase somewhat.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103698"},"PeriodicalIF":2.5,"publicationDate":"2025-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145938756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Spectral wave-induced loads and fatigue life of ship structures for different sea states 不同海况下船舶结构的谱波载荷与疲劳寿命

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-12-26 DOI: 10.1016/j.wavemoti.2025.103697

Pasqualino Corigliano, Marco Quattrone

Ensuring the fatigue reliability of large container ships is critical for preventing catastrophic structural failures. Wave–structure interaction plays a critical role in the long-term structural integrity of marine vessels operating under stochastic seas. This study analyzes the fatigue behaviour of container-ship structures exposed to wave-induced vertical bending moments by combining a spectral representation of irregular waves with material-specific fatigue models. Wave loads are described using the Pierson–Moskowitz spectrum for a range of representative sea states, and the corresponding structural responses are evaluated through spectral fatigue analysis. Fatigue damage is quantified using S–N curves and the Palmgren–Miner rule for four common marine steels (AH32, AH36, AISI 1020, AISI 316 L). Results show that AH36 and AISI 1020 provide robust resistance to cyclic wave loads, while AH32 and AISI 316 L exhibit significantly shorter fatigue lives under extreme sea states. The comparison with classification-society design formulations shows discrepancies of up to 23 % relative to direct calculations, highlighting the inherent limitations of rule-based design methods. The study also outlines inspection intervals and monitoring strategies intended to mitigate early crack initiation and propagation in structurally sensitive midship regions. Collectively, these findings contribute to improving structural safety, operational reliability, and the long-term durability of ocean-going vessels. The findings enable the possible development of a tool that can be installed on ships to provide real-time insights. By utilizing the transfer function provided by the ship's designers and real-time sea conditions, the tool could calculate instantaneous maximum stress values experienced by critical structural components. This allows for immediate prediction of the remaining fatigue life if the material's fatigue limit is exceeded. The findings support the development of real-time fatigue monitoring tools, enabling ship operators to anticipate critical conditions and implement preventive maintenance before failure occurs.

确保大型集装箱船的疲劳可靠性是防止结构发生灾难性破坏的关键。波浪-结构相互作用对船舶在随机海域的长期结构完整性起着至关重要的作用。本研究通过将不规则波浪的频谱表示与材料特定的疲劳模型相结合，分析了集装箱船结构在波浪引起的垂直弯矩下的疲劳行为。波浪荷载使用Pierson-Moskowitz谱来描述一系列代表性海况，并通过谱疲劳分析评估相应的结构响应。采用S-N曲线和Palmgren-Miner法则对4种常用船用钢（AH32、AH36、AISI 1020、AISI 316l）进行了疲劳损伤量化。结果表明，AH36和AISI 1020具有较强的抗循环波浪载荷能力，而AH32和AISI 316 L在极端海况下的疲劳寿命明显缩短。与船级社设计公式的比较显示，与直接计算相比，差异高达23%，突出了基于规则的设计方法的固有局限性。该研究还概述了检查间隔和监测策略，旨在减轻结构敏感的船中部区域的早期裂纹萌生和扩展。总的来说，这些发现有助于提高远洋船舶的结构安全性、运行可靠性和长期耐久性。这一发现使开发一种可以安装在船上的工具成为可能，以提供实时洞察。通过利用船舶设计者提供的传递函数和实时海况，该工具可以计算出关键结构部件所经历的瞬时最大应力值。如果超过材料的疲劳极限，这可以立即预测剩余的疲劳寿命。研究结果支持实时疲劳监测工具的开发，使船舶操作员能够预测关键条件，并在故障发生之前实施预防性维护。

{"title":"Spectral wave-induced loads and fatigue life of ship structures for different sea states","authors":"Pasqualino Corigliano, Marco Quattrone","doi":"10.1016/j.wavemoti.2025.103697","DOIUrl":"10.1016/j.wavemoti.2025.103697","url":null,"abstract":"<div><div>Ensuring the fatigue reliability of large container ships is critical for preventing catastrophic structural failures. Wave–structure interaction plays a critical role in the long-term structural integrity of marine vessels operating under stochastic seas. This study analyzes the fatigue behaviour of container-ship structures exposed to wave-induced vertical bending moments by combining a spectral representation of irregular waves with material-specific fatigue models. Wave loads are described using the Pierson–Moskowitz spectrum for a range of representative sea states, and the corresponding structural responses are evaluated through spectral fatigue analysis. Fatigue damage is quantified using S–N curves and the Palmgren–Miner rule for four common marine steels (AH32, AH36, AISI 1020, AISI 316 L). Results show that AH36 and AISI 1020 provide robust resistance to cyclic wave loads, while AH32 and AISI 316 L exhibit significantly shorter fatigue lives under extreme sea states. The comparison with classification-society design formulations shows discrepancies of up to 23 % relative to direct calculations, highlighting the inherent limitations of rule-based design methods. The study also outlines inspection intervals and monitoring strategies intended to mitigate early crack initiation and propagation in structurally sensitive midship regions. Collectively, these findings contribute to improving structural safety, operational reliability, and the long-term durability of ocean-going vessels. The findings enable the possible development of a tool that can be installed on ships to provide real-time insights. By utilizing the transfer function provided by the ship's designers and real-time sea conditions, the tool could calculate instantaneous maximum stress values experienced by critical structural components. This allows for immediate prediction of the remaining fatigue life if the material's fatigue limit is exceeded. The findings support the development of real-time fatigue monitoring tools, enabling ship operators to anticipate critical conditions and implement preventive maintenance before failure occurs.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103697"},"PeriodicalIF":2.5,"publicationDate":"2025-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Breathers and rogue waves on the periodic background in the Hirota and the Maxwell-Bloch equations 在Hirota和Maxwell-Bloch方程的周期性背景上的呼吸波和异常波

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-12-26 DOI: 10.1016/j.wavemoti.2025.103696

Yijie Zhao , Zhaqilao

For the three-component Hirota and Maxwell-Bloch equations, a general solution to the associated Lax pair is derived using the method of separation of variables and the method of variation of constants. Based on this general solution and the Darboux transformation, several types of nonlinear wave solutions are constructed. As three representative cases, breathers on the periodic background, Jacobi cn background, and Jacobi dn background are generated by taking the plane wave, the cn-periodic wave, and the dn-periodic wave as seed solutions, respectively. By choosing appropriate parameters, the corresponding dynamics and evolution of the three components are clearly revealed. For case 1, the one-breather and two-breather on the periodic background are obtained. In the case of one-breather on the periodic background, the background wave propagates along the t-axis, while the breather propagates along either the x-axis or the t-axis. For breathers on cn- and dn-periodic backgrounds, the breather travels along the t-axis, whereas the background wave propagates along the x-axis. Furthermore, in the degenerate case where the elliptic modulus m equals 1, breathers on the soliton background and two-soliton are also obtained. Next, by combining the Darboux transformation with the nonlinearization of the Lax pair, rogue waves on two types of periodic backgrounds are expressed in terms of the Jacobian elliptic functions cn and dn.

对于三分量Hirota方程和Maxwell-Bloch方程，利用分离变量法和变分常数法导出了相关Lax对的通解。在此通解和达布变换的基础上，构造了几种非线性波解。以平面波、n-周期波和n-周期波作为种子解分别生成周期背景、Jacobi cn背景和Jacobi dn背景上的呼吸子，作为三个代表性案例。通过选择合适的参数，可以清楚地揭示出这三个组成部分的动力学和演化。对于情形1，得到周期背景上的单呼吸器和双呼吸器。在周期性背景上的单呼吸波的情况下，背景波沿着t轴传播，而呼吸波沿着x轴或t轴传播。对于cn周期和dn周期背景的呼吸波，呼吸波沿着t轴传播，而背景波沿着x轴传播。此外，在椭圆模m = 1的简并情况下，还得到了孤子背景和双孤子上的呼吸子。其次，通过将达布变换与Lax对的非线性化相结合，将两种周期背景上的异常波用雅可比椭圆函数cn和dn表示。

{"title":"Breathers and rogue waves on the periodic background in the Hirota and the Maxwell-Bloch equations","authors":"Yijie Zhao , Zhaqilao","doi":"10.1016/j.wavemoti.2025.103696","DOIUrl":"10.1016/j.wavemoti.2025.103696","url":null,"abstract":"<div><div>For the three-component Hirota and Maxwell-Bloch equations, a general solution to the associated Lax pair is derived using the method of separation of variables and the method of variation of constants. Based on this general solution and the Darboux transformation, several types of nonlinear wave solutions are constructed. As three representative cases, breathers on the periodic background, Jacobi cn background, and Jacobi dn background are generated by taking the plane wave, the cn-periodic wave, and the dn-periodic wave as seed solutions, respectively. By choosing appropriate parameters, the corresponding dynamics and evolution of the three components are clearly revealed. For case 1, the one-breather and two-breather on the periodic background are obtained. In the case of one-breather on the periodic background, the background wave propagates along the t-axis, while the breather propagates along either the x-axis or the t-axis. For breathers on cn- and dn-periodic backgrounds, the breather travels along the t-axis, whereas the background wave propagates along the x-axis. Furthermore, in the degenerate case where the elliptic modulus m equals 1, breathers on the soliton background and two-soliton are also obtained. Next, by combining the Darboux transformation with the nonlinearization of the Lax pair, rogue waves on two types of periodic backgrounds are expressed in terms of the Jacobian elliptic functions cn and dn.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103696"},"PeriodicalIF":2.5,"publicationDate":"2025-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

New integrable (2+1)-dimensional generalized extended kadomtsev-Petviashvili equation 新的可积（2+1）维广义扩展kadomtsev-Petviashvili方程

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-12-25 DOI: 10.1016/j.wavemoti.2025.103693

Sijie Mao, Maohua Li

The integrable form and diverse exact solutions of the

(2 + 1)

-dimensional generalized extended Kadomtsev-Petviashvili equation are systematically investigated in this paper. Employing Painlevé analysis and the WTC-Kruskal method for the first time, we rigorously confirm the complete integrable form of this equation. By using the Hirota bilinear method, we systematically derive explicit N-soliton solutions and higher-order breather solutions. This foundation facilitates the construction of periodic solutions and novel hybrid states incorporating periodic waves, breather solutions and soliton solutions. Furthermore, asymptotic analysis of N-soliton solutions under the long-wave limit yields spatially localized lump solutions and rogue waves. A significant advancement is the derivation of semi-rational solutions combining lumps, rogue waves, soliton solutions and breather solutions, substantially extending the known solution spectrum for this system. To characterize nonlinear dynamics, we employ three-dimensional visualizations and density plots with contour overlays, clearly elucidating the distinct evolution patterns exhibited by each solution class.

本文系统地研究了（2+1）维广义扩展Kadomtsev-Petviashvili方程的可积形式和多种精确解。首次采用painlev分析和WTC-Kruskal方法，严格地证实了该方程的完全可积形式。利用Hirota双线性方法，系统地导出了n孤子解和高阶呼吸解。这个基础有助于构建周期解和包含周期波、呼吸解和孤子解的新型混合态。此外，对长波极限下n孤子解的渐近分析得到了空间局域块解和异常波。一个重要的进步是推导了结合团块解、异常波解、孤子解和呼吸解的半有理解，大大扩展了该系统的已知解谱。为了表征非线性动力学，我们采用三维可视化和密度图与轮廓叠加，清楚地阐明了不同的演化模式，展示了每个解类。

{"title":"New integrable (2+1)-dimensional generalized extended kadomtsev-Petviashvili equation","authors":"Sijie Mao, Maohua Li","doi":"10.1016/j.wavemoti.2025.103693","DOIUrl":"10.1016/j.wavemoti.2025.103693","url":null,"abstract":"<div><div>The integrable form and diverse exact solutions of the <span><math><mrow><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-dimensional generalized extended Kadomtsev-Petviashvili equation are systematically investigated in this paper. Employing Painlevé analysis and the WTC-Kruskal method for the first time, we rigorously confirm the complete integrable form of this equation. By using the Hirota bilinear method, we systematically derive explicit <em>N</em>-soliton solutions and higher-order breather solutions. This foundation facilitates the construction of periodic solutions and novel hybrid states incorporating periodic waves, breather solutions and soliton solutions. Furthermore, asymptotic analysis of <em>N</em>-soliton solutions under the long-wave limit yields spatially localized lump solutions and rogue waves. A significant advancement is the derivation of semi-rational solutions combining lumps, rogue waves, soliton solutions and breather solutions, substantially extending the known solution spectrum for this system. To characterize nonlinear dynamics, we employ three-dimensional visualizations and density plots with contour overlays, clearly elucidating the distinct evolution patterns exhibited by each solution class.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103693"},"PeriodicalIF":2.5,"publicationDate":"2025-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Optical solitons, dynamic behaviors, and chaotic characteristics of the stochastic fourth-order nonlinear Schrödinger equation with white noise 具有白噪声的随机四阶非线性Schrödinger方程的光学孤子，动态行为和混沌特性

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-12-25 DOI: 10.1016/j.wavemoti.2025.103694

Ke-Yu Ren

This study investigates the bifurcation and chaotic behaviors of soliton solutions for the stochastic nonlinear Schrödinger equation (NLSE) with fourth-order perturbations. A trial function method is employed to transform the model into an integrable system, yielding a planar nonlinear system. Phase portrait analysis reveals the existence of bright, dark, and kink soliton solutions in the equation. Incorporating external perturbation terms induces chaotic behaviors in the system, with the intensity strongly dependent on perturbation parameters. Based on this finding, stable control of the system’s dynamical behaviors can be achieved through parameter regulation, demonstrating the potential robustness of the model in practical applications. To validate these conclusions, the complete polynomial discriminant system is utilized for the comprehensive classification of exact solutions, and the classification results are mutually corroborated with the previous phase portrait analysis. Notably, the influence of delay effects induced by white noise on soliton amplitude and its mean value is intuitively illustrated through diagrams. To the best of our knowledge, this constitutes the first investigation into the chaotic behaviors of the stochastic extended NLSE with fourth-order perturbations, filling a significant gap in the current research on such models.

研究了具有四阶扰动的随机非线性Schrödinger方程（NLSE）的孤子解的分岔和混沌行为。采用试函数法将模型转化为可积系统，得到平面非线性系统。相像分析揭示了方程中存在亮孤子解、暗孤子解和扭结孤子解。引入外部扰动项会引起系统的混沌行为，其强度强烈依赖于扰动参数。基于这一发现，可以通过参数调节实现对系统动态行为的稳定控制，证明了该模型在实际应用中的潜在鲁棒性。为了验证这些结论，利用完全多项式判别系统对精确解进行全面分类，并将分类结果与前面的相位肖像分析相印证。值得注意的是，白噪声引起的延迟效应对孤子振幅及其平均值的影响通过图表直观地说明。据我们所知，这是对四阶扰动下随机扩展NLSE混沌行为的首次研究，填补了目前这类模型研究的重大空白。

{"title":"Optical solitons, dynamic behaviors, and chaotic characteristics of the stochastic fourth-order nonlinear Schrödinger equation with white noise","authors":"Ke-Yu Ren","doi":"10.1016/j.wavemoti.2025.103694","DOIUrl":"10.1016/j.wavemoti.2025.103694","url":null,"abstract":"<div><div>This study investigates the bifurcation and chaotic behaviors of soliton solutions for the stochastic nonlinear Schrödinger equation (NLSE) with fourth-order perturbations. A trial function method is employed to transform the model into an integrable system, yielding a planar nonlinear system. Phase portrait analysis reveals the existence of bright, dark, and kink soliton solutions in the equation. Incorporating external perturbation terms induces chaotic behaviors in the system, with the intensity strongly dependent on perturbation parameters. Based on this finding, stable control of the system’s dynamical behaviors can be achieved through parameter regulation, demonstrating the potential robustness of the model in practical applications. To validate these conclusions, the complete polynomial discriminant system is utilized for the comprehensive classification of exact solutions, and the classification results are mutually corroborated with the previous phase portrait analysis. Notably, the influence of delay effects induced by white noise on soliton amplitude and its mean value is intuitively illustrated through diagrams. To the best of our knowledge, this constitutes the first investigation into the chaotic behaviors of the stochastic extended NLSE with fourth-order perturbations, filling a significant gap in the current research on such models.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103694"},"PeriodicalIF":2.5,"publicationDate":"2025-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0