Wave Motion最新文献

英文中文

Nonreciprocal rotating waves and energy-balanced modes in odd elastic circular domain 奇弹性圆域中非倒易旋转波与能量平衡模态

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-08-10 DOI: 10.1016/j.wavemoti.2025.103622

Andi Lai, Yuhang Li, Kai Wu, Guo Fu

Nonreciprocal linear elastic responses in active systems are described by the non-Hermitian elasticity tensor, referred to as odd elasticity. Existing studies have focused on the propagation characteristics of waves in infinite domains and the skin effects at the boundary, while the dynamics of odd elasticity in geometries with rotational symmetry remain unclear. In this work, we develop a dynamic model for odd elastic circular domain in polar coordinates and derive the wave solutions. We report a novel type of nonreciprocal rotating wave in rotationally symmetric geometries. This phenomenon is characterized by invariant modes, with amplitude either increasing or decaying depending on the direction of propagation. Furthermore, we demonstrate that when the gain and loss induced by two independent odd elastic effects are balanced, the system generates rotating waves with constant amplitude and chiral modes. These findings provide a foundation for the study of nonreciprocal angular momentum transfer and chiral mechanical resonators.

主动系统中的非互易线性弹性响应由非厄米弹性张量描述，称为奇弹性。现有的研究主要集中在无限域中波的传播特性和边界处的集肤效应，而旋转对称几何中的奇弹性动力学尚不清楚。本文建立了奇弹性圆域在极坐标系下的动力学模型，并推导了其波动解。我们报道了一种新型的旋转对称几何中的非倒易旋转波。这种现象的特征是模态不变，振幅随传播方向的变化而增加或衰减。此外，我们证明了当两个独立的奇弹性效应引起的增益和损失平衡时，系统产生具有恒定振幅和手性模式的旋转波。这些发现为非倒易角动量传递和手性机械谐振器的研究奠定了基础。

引用次数: 0

Novel nonlocal three-component mKdV equations and classification of solutions 新型非局部三分量mKdV方程及其解的分类

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-08-09 DOI: 10.1016/j.wavemoti.2025.103616

Mengli Tian , Chunxia Li , Fei Li , Yue Li , Yuqin Yao

A kind of nonlocal reduction for the unreduced modified Korteweg–de Vries (mKdV) system is presented, which yields the reverse space–time nonlocal complex three-component mKdV (NCTC-mKdV) equation. This equation can be regarded as a new member of the Ablowitz–Kaup–Newell–Segur (AKNS) integrable hierarchy. We develop the Cauchy matrix approach to investigate the solution structure of the nonlocal system systematically, where the Sylvester equation is pivotal in constructing explicit solutions. In fact, the analytical expressions of the solutions can be classified according to the eigenvalue structure of the coefficient matrix

K

in the Sylvester equation. Specially, various explicit solutions of the NCTC-mKdV equation are derived, including soliton solution, Jordan solution and diagonal-Jordan-block mixed solution. Notably, the conditions for generating one-soliton solution, two-soliton solution, mixed solution, periodic solution, double-periodic solution, quasi-periodic solution and dark soliton solution are presented and their dynamic behaviors are analyzed. The results reveal the structural features of solutions to the three-component mKdV equation under nonlocal reduction.

对未约简的修正Korteweg-de Vries （mKdV）系统进行了一种非局部约简，得到了逆时空非局部复三分量mKdV （NCTC-mKdV）方程。该方程可视为ablowitz - kap - newwell - segur （AKNS）可积层次的新成员。我们发展柯西矩阵方法来系统地研究非局部系统的解结构，其中Sylvester方程是构造显式解的关键。实际上，解的解析表达式可以根据Sylvester方程中系数矩阵K的特征值结构进行分类。特别地，导出了NCTC-mKdV方程的各种显式解，包括孤子解、Jordan解和对角-Jordan-块混合解。给出了单孤子解、双孤子解、混合解、周期解、双周期解、拟周期解和暗孤子解的生成条件，并分析了它们的动力学行为。结果揭示了非局部约化下三分量mKdV方程解的结构特征。

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引用次数: 0

In-plane linear stress waves in layered media: I. Non-Hermitian degeneracies and modal chirality 层状介质中的平面内线性应力波：1 .非厄米简并和模态手性

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-08-05 DOI: 10.1016/j.wavemoti.2025.103610

Vahidreza Alizadeh, Alireza V. Amirkhizi

We study the band structure and scattering of in-plane coupled longitudinal and shear stress waves in linear layered media and observe that exceptional points (EP) appear for elastic (lossless) media, when parameterized with real-valued frequency and tangential wave vector component. The occurrence of these EP pairs is not limited to the original stop bands. They could also appear in all mode pass bands, leading to the formation of new stop bands. The scattered energy near these locations is studied along with the associated polarization patterns. The broken phase symmetry is observed inside the frequency bands book-ended by these EP pairs. This is especially manifested by the chirality of the trajectory of the particle velocity, which gets selected by a “direction” of the wave, e.g. the imaginary part of normal component of the wave vector, or the energy flux direction just outside the band. Additionally, EP pairs also appear in the spectrum of the (modified) scattering matrix when mechanical gain is theoretically included to balance the loss in a parity-time symmetric finite structure. These EP pairs lead to amplification of transmission to above 1 and single-sided reflectivity, both phenomena associated with broken phase symmetry, with intriguing potential applications.

我们研究了线性层状介质中面内耦合纵向和剪切应力波的带结构和散射，并观察到当用实值频率和切向波矢量分量参数化时，弹性（无损）介质中出现异常点（EP）。这些EP对的出现并不局限于原始的停止带。它们也可能出现在所有模式通带中，导致新的阻带的形成。研究了这些位置附近的散射能量以及相关的极化模式。在以这些极电位对为末端的频带内观察到相位对称性的破坏。这一点特别体现在粒子速度轨迹的手性上，它是由波的“方向”选择的，例如波矢量法向分量的虚部，或者带外的能量通量方向。此外，当理论上包括机械增益以平衡奇偶时间对称有限结构中的损耗时，EP对也出现在（修正的）散射矩阵的频谱中。这些电位对导致透射率放大到1以上和单面反射率，这两种现象都与相位对称性破坏有关，具有有趣的潜在应用前景。

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引用次数: 0

Wave propagation model by time series hybrid element method 基于时间序列混合元法的波浪传播模型

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-30 DOI: 10.1016/j.wavemoti.2025.103615

Bahman Ansari, Alireza Firoozfar

In this study, a time domain boundary-finite element method is developed for solving wave propagation problems. By applying the weighted residual approach and using the static fundamental solutions as the weight function, the wave propagation equation is converted to simple boundary integral. In addition, the effects of domain integral related to inertia term are considered by applying the finite element method to the solution. Furthermore, after deriving the boundary-finite element (Hybrid) formulations, the solvable matrix of the equations in the discretized form is presented. In a novel approach, by estimating the temporal variations of the element nodes using Taylor and Fourier series, a time series discrete matrix is introduced for solving the equations which provides a higher degree of accuracy in compare to other time discretization approaches. Finally, the formulations and method are implemented into a computer algorithm and various examples are solved. The results demonstrated that the proposed time series hybrid approach (TSHEM) accurately models wave propagation problems with lower computational cost in compare to other numerical solutions, making it a preferable choice for solving complex problems with higher accuracy.

本文提出了一种求解波传播问题的时域边界有限元方法。采用加权残差法，以静力基本解为权函数，将波传播方程转化为简单的边界积分。此外，利用有限元方法考虑了与惯性项相关的域积分的影响。在导出边界-有限元（混合）表达式的基础上，给出了方程离散化后的可解矩阵。在一种新的方法中，通过使用泰勒和傅立叶级数估计元素节点的时间变化，引入时间序列离散矩阵来求解方程，与其他时间离散化方法相比，该方法提供了更高的精度。最后，将公式和方法实现到计算机算法中，并对各种实例进行了求解。结果表明，与其他数值解相比，所提出的时间序列混合方法（TSHEM）能较准确地模拟波传播问题，且计算成本较低，是求解复杂问题的较好选择。

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引用次数: 0

Band-gap properties of fluid-conveying deployable meta-pipes with periodic inertial amplification mechanisms 具有周期性惯性放大机构的流体输送可展开元管的带隙特性

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-29 DOI: 10.1016/j.wavemoti.2025.103612

Muhammad Shoaib , Zhijing Wu , Jiping Jing , Fengming Li , Long Liu

In this paper, the transverse and longitudinal wave motions of a fluid-conveying deployable meta-pipe incorporating periodic inertial amplification (IA) mechanisms are systematically investigated. The proposed structure aims to enhance vibration attenuation based on the band gap (BG) property in low-frequency ranges. The dynamic model of the IA mechanism is established to precisely characterize the inertial forces generated by the coupled axial-bending deformation in the base pipe structure. Based on the Bloch theorem, the dispersion curves are analyzed using the transfer matrix method (TMM). An experiment prototype is manufactured and subjected to vibration testing for validation of the theoretical model. Parametric analysis reveals that both the position and bandwidth of transverse and longitudinal BGs exhibit significant dependence on variations in: (1) fluid velocity, (2) deploying velocity, (3) IA mechanism’s parameters (mass and angle) and (4) the length of the unit cell. This research can establish both theoretical and experimental foundations for engineering design focused on enhanced vibration attenuation in conveying-fluid pipes.

本文系统地研究了一种含周期惯性放大（IA）机构的流体输送可展开元管的横波和纵波运动。该结构旨在增强低频范围内基于带隙（BG）特性的振动衰减。为了准确表征基管结构轴向弯曲耦合变形所产生的惯性力，建立了内力机构的动力学模型。基于布洛赫定理，利用传递矩阵法对色散曲线进行了分析。制作了实验样机并进行了振动试验以验证理论模型的正确性。参数分析表明，横向和纵向BGs的位置和带宽都与以下因素有显著关系：(1)流体速度，(2)部署速度，(3)IA机构参数（质量和角度）和(4)单元格长度。该研究可为输送流体管道增强减振的工程设计奠定理论和实验基础。

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引用次数: 0

Mechanism investigations on certain unbounded/bounded breather molecules and transformed molecular waves for an extended (3+1)-dimensional Jimbo–Miwa equation in fluid mechanics 流体力学中扩展（3+1）维Jimbo-Miwa方程中某些无界/有界呼吸分子和转化分子波的机理研究

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-23 DOI: 10.1016/j.wavemoti.2025.103608

Xuemin Yao , Jinjie Wen , Yuanhang Li , Junfei Zhao

In this paper, we present mechanistic investigations on certain bounded/unbounded breather molecules and transformed molecular wave formations through systematic analysis for an extended (3+1)-dimensional Jimbo–Miwa equation in fluid dynamics. Through characteristic lines analysis, we establish transformed wave solutions bifurcating from breather modes under critical state transition conditions. Such solutions demonstrate temporally evolving characteristics manifested as dynamic amplitude modulations and parametric waveform deformations. Moreover, we systematically investigate breather or transformed molecular wave complexes as collisionless structures, where the fundamental constituents are identified as individual breather waves and novel transformed wave counterparts. Unbounded or bounded molecular wave complexes, comprising identical or distinct constituent components, maintain fixed phase-locked separation distances while demonstrating propagation stability governed by nonlinear coupling constraints. These findings establish a potential theoretical framework for experimental studies in fluid dynamics, while also offering novel perspectives on the behavior of molecular waves in broader nonlinear physical systems.

本文通过对流体力学中扩展的（3+1）维Jimbo-Miwa方程的系统分析，对某些有界/无界呼吸分子和转化分子波的形成进行了力学研究。通过特征线分析，建立了临界状态跃迁条件下由呼吸模分岔的变换波解。这种解决方案表现出时间演化特征，表现为动态振幅调制和参数波形变形。此外，我们系统地研究了呼吸波或转化分子波复合物作为无碰撞结构，其中基本成分被确定为单个呼吸波和新的转化波对应体。由相同或不同组分组成的无界或有界分子波复合物保持固定的锁相分离距离，同时表现出非线性耦合约束下的传播稳定性。这些发现为流体动力学实验研究建立了一个潜在的理论框架，同时也为更广泛的非线性物理系统中的分子波行为提供了新的视角。

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引用次数: 0

Effect of horizontal and vertical components of initial stress on SH-wave propagation in a magneto-elastic fiber-reinforced (MEFR) layer 初始应力水平和垂直分量对磁弹性纤维增强（MEFR）层中sh波传播的影响

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-21 DOI: 10.1016/j.wavemoti.2025.103607

Neetu Malik , Komal Gajroiya , Jitander Singh Sikka

This study aims to examine how the propagation of Shear Horizontal wave (SH-type waves) in a magneto-elastic fiber-reinforced (MEFR) layer with finite thickness is affected by initial stress. It rests upon a poroelastic transversely isotropic inhomogeneous half-space. The upper boundary of the layer is assumed to be rigid, and the layer and half-space are welded together. The displacement components of both the layer and half-space were derived and subsequently analyzed. The dispersion relation governing the propagation of SH-type waves was obtained and examined by applying appropriate boundary conditions for various scenarios. The confirmation of the mathematical model’s validity is evidenced by the simplification of the dispersion relation, which in turn streamlines the existing velocity wave equation for SH waves. The numerical computations were performed for distinct materials (steel and crystalline graphite) of the considered upper MEFR layer using the MATHEMATICA software, and the results were graphically presented. The dispersion curves provide insights into the impact of various parameters, including initial stress, magneto-elastic coupling, reinforcement, wave angle with respect to the magnetic field, heterogeneity of the half-space, porosity, and dynamic tortuosity, on wave propagation. Understanding the behavior of seismic waves can have significant practical implications for earthquake engineering and geophysics. Therefore, the findings of this study contribute to enhancing our knowledge of wave propagation, offering valuable insights for relevant fields.

本研究旨在研究有限厚度磁弹性纤维增强（MEFR）层中剪切水平波（sh型波）的传播如何受到初始应力的影响。它建立在孔隙弹性横向各向同性非均匀半空间上。假设层的上边界为刚性，层与半空间焊接在一起。推导了层和半空间的位移分量，并进行了分析。得到了控制sh型波传播的色散关系，并在不同情况下应用了适当的边界条件进行了检验。对频散关系的简化证明了数学模型的有效性，从而简化了现有的SH波速度波动方程。利用MATHEMATICA软件对MEFR上层的不同材料（钢和结晶石墨）进行了数值计算，并以图形形式给出了计算结果。色散曲线可以深入了解各种参数对波传播的影响，包括初始应力、磁弹性耦合、加固、相对于磁场的波角、半空间的非均质性、孔隙度和动态扭曲度。了解地震波的行为对地震工程和地球物理学具有重要的实际意义。因此，本研究的发现有助于提高我们对波传播的认识，为相关领域提供有价值的见解。

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引用次数: 0

Quasideterminant solutions for the Wadati–Konno–Ichikawa equation Wadati-Konno-Ichikawa方程的拟行列式解

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-19 DOI: 10.1016/j.wavemoti.2025.103605

Halis Yilmaz

We employ a modified Darboux transformation to derive quasideterminant solutions for the modified Wadati–Konno–Ichikawa (mWKI) equation, an equivalent form of the WKI equation. As particular examples, we present multi-soliton solutions for both the focusing and defocusing cases using a zero seed solution. Additionally, we derive breather and rogue wave solutions of the mWKI equation starting from a non-zero seed solution.

我们利用一个修正的Darboux变换，导出了WKI方程的等价形式——修正wadati - kono - ichikawa （mWKI）方程的拟行列式解。作为特殊的例子，我们给出了使用零种子解的聚焦和散焦情况下的多孤子解。此外，我们从非零种子解出发，导出了mWKI方程的呼吸波解和突变波解。

引用次数: 0

Freezing of the transmitted wave pattern through gratings 通过光栅冻结透射波形

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-19 DOI: 10.1016/j.wavemoti.2025.103606

Elie Salemeh, Simon Félix, Vincent Pagneux

In wave transport through complex media, the single-channel regime is characterized by the loss of sensitivity to incidence conditions, resulting in an invariant pattern of the transmitted wave. So far, such “frozen” patterns have been observed in localized disordered media and in periodic waveguides. In this paper, we show that the same mechanism can occur in the transmission through gratings when properly designed, allowing the observation of the freezing when an incident plane wave is scattered by a grating composed of two successive arrays of scatterers: one mixing the incident orders in arbitrary ways, followed by a freezing array periodically structured in the longitudinal direction, normal to the grating plane. Unlike localized disordered media, where freezing occurs only with evanescent waves, gratings, similarly to periodic waveguides, can exhibit freezing with propagating waves when a single Bloch mode is propagating in the longitudinal direction. Moreover, we show different classes of grating geometries for which the occurrence of freezing is sensitive or insensitive to the incidence angle.

在复杂介质中的波传输中，单通道的特点是对入射条件失去敏感性，导致透射波的不变模式。到目前为止，这种“冻结”模式已经在局部无序介质和周期波导中观察到。在本文中，我们表明，如果设计得当，同样的机制可以发生在通过光栅的传输中，当入射平面波被由两个连续散射体阵列组成的光栅散射时，可以观察到冻结：一个以任意方式混合入射顺序，然后是纵向周期性结构的冻结阵列，垂直于光栅平面。与局部无序介质不同，在局部无序介质中，冻结只发生在倏逝波中，光栅类似于周期波导，当单个布洛赫模式在纵向上传播时，也会随着传播波而冻结。此外，我们还展示了不同类型的光栅几何形状，其冻结的发生对入射角敏感或不敏感。

引用次数: 0

Dynamics of multiple rogue waves for (3+1)-dimensional variable-coefficient potential Yu-Toda-Sasa-Fukuyama equation （3+1）维变系数势Yu-Toda-Sasa-Fukuyama方程的多异常波动力学

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-19 DOI: 10.1016/j.wavemoti.2025.103604

Yi-Lin Tian , Wen-Yuan Li , Nong-Sen Li , Rui-Gang Zhang , Ji-Feng Cui

In the text, we deliberate the (3+1)-dimensional variable-coefficient potential Yu-Toda-Sasa-Fukuyama equation (YTST) in an elastic (or in a two-layer-liquid) medium, and its bilinear form is derived by Bell polynomials. Via symbolic computation method and Hirota bilinear form, the first-order, second-order and third-order rogue wave solutions are presented, involving lump-type, lump-kink-type, periodic and line rogue waves. The effect of variable coefficient functions and parameter values of the center on the shapes and peak numbers of rogue waves is demonstrated and explained in terms of three-dimensional graphs and contours. The appearances bearing fission and propagation in the periodic background are duly traced. The novel outcomes fill the gap in rogue wave solutions for this model, which furnish great awareness going deeply into variable coefficient equations.

本文研究了弹性（或两层液体）介质中的（3+1）维变系数势Yu-Toda-Sasa-Fukuyama方程（YTST），并用贝尔多项式推导了其双线性形式。通过符号计算方法和Hirota双线性形式，给出了一阶、二阶和三阶异常波的解，包括块状异常波、块状异常波、周期异常波和直线异常波。用三维图形和等高线说明了变系数函数和中心参数值对异常浪形状和峰数的影响。在周期性背景中，裂变和传播的现象被适当地记录下来。这些新结果填补了该模型的异常波解的空白，为深入研究变系数方程提供了很大的认识。

引用次数: 0

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