Wave Motion最新文献_第5页

Compressive and shear wave propagation in viscoelastic solid medium as a consequence of prescribed initial displacement fields 在规定的初始位移场作用下，压缩波和剪切波在粘弹性固体介质中的传播

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-10-11 DOI: 10.1016/j.wavemoti.2025.103651

Slađan Jelić , Dušan Zorica

The propagation of compressive and shear waves through a homogeneous, isotropic, and infinite three-dimensional viscoelastic body is presented through the time evolution of spatial distribution of displacement field, obtained by solving the system of fractional partial differential equations, consisting of the equation of motion of a three-dimensional solid body, the infinitesimal strain tensor, and the fractionally generalized Hooke’s law for a three-dimensional isotropic and elastic body as a constitutive equation, for initial conditions prescribed through the Gaussian function, so that the compressive and shear components of displacement field are expressed as the action of the resolvent tensor on the initial conditions. The graphical representation of displacement field’s compressive and shear component time evolution shows that during a certain time after the excitation there are no qualitative differences between wave propagation through an elastic and a viscoelastic body, regardless whether the wave propagation speed is infinite or finite, while as time increases, differences are firstly observed between elastic and viscoelastic waves, and subsequently between viscoelastic waves with infinite and finite wave propagation speed. The graphical representation of time evolution of spatial profiles of Green’s function, representing a crucial term in the resolvent tensor and containing information about the mechanical characteristics of the material, is revisited due to the applied approach of Fourier and Laplace transform inversions’ order.

通过求解分数阶偏微分方程组得到的位移场空间分布的时间演化，给出了压缩波和剪切波在均匀的、各向同性的无限三维粘弹体中的传播。该系统由三维固体运动方程、无穷小应变张量、将三维各向同性弹性体的分数型广义胡克定律作为本构方程，用高斯函数规定初始条件，从而将位移场的压缩和剪切分量表示为解析张量对初始条件的作用。位移场压缩和剪切分量时间演化的图形表示表明，在激发后的一定时间内，无论波的传播速度是无限还是有限，波在弹性和粘弹性体中的传播没有质的区别，而随着时间的增加，弹性波和粘弹性体之间首先出现了差异。然后在无限和有限波传播速度的粘弹性波之间。由于傅里叶变换和拉普拉斯变换反序的应用方法，格林函数空间轮廓的时间演变的图形表示，代表了解决张量中的一个关键项，包含了关于材料力学特性的信息。

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引用次数: 0

Breather dynamics and the role of near-neighbor coupling in charge transport within the Holstein-SSH DNA model 在Holstein-SSH DNA模型中，呼吸动力学和近邻耦合在电荷输运中的作用

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-10-11 DOI: 10.1016/j.wavemoti.2025.103652

A. Dang Koko , R.Y. Ondoua , R. Abouem A. Ribama , C.B. Tabi , H.P. Ekobena Fouda , J.P. Nguenang

In this study, we analyze charge transport in the Holstein-SSH DNA lattice model through the analysis of breather dynamics. Using an empirical Holstein-SSH DNA lattice model combined with the quasi-discrete approximation, we have shown that the dynamics of charge transport can be modeled by the nonlinear Schrödinger equation. Analytical study of the modulational instability (MI) phenomenon, based on this equation, revealed that when the nearest-neighbor transfer integral is high, the system becomes more stable, thus offering better charge transport. Furthermore, numerical analysis of MI revealed that our system admits breather solutions, indicating that the stability/instability dynamics can be influenced by the wave number. Subsequently, we derive the breather-type solution and numerically plot its spatio-temporal evolution. One interesting result of this study is that during charge transport in DNA, we find that high values of nearest-neighbor transfer integral could indicate that solitons are more resistant to perturbations or disorder, allowing localized waves to maintain their shape and energy over longer distances. Which allows us to deduce some biological implications linked to charge transport in DNA.

在本研究中，我们通过呼吸动力学分析荷尔斯坦- ssh DNA晶格模型中的电荷输运。利用经验Holstein-SSH DNA晶格模型结合准离散近似，我们证明了电荷输运动力学可以用非线性Schrödinger方程来建模。基于该方程对调制不稳定性（MI）现象的分析研究表明，当最近邻转移积分高时，系统变得更稳定，从而提供更好的电荷输运。此外，MI的数值分析表明，我们的系统允许呼吸解，表明稳定/不稳定动力学可以受到波数的影响。随后，我们导出了呼吸型解，并对其时空演化进行了数值绘制。这项研究的一个有趣的结果是，在DNA中的电荷传输过程中，我们发现高值的最近邻转移积分可能表明孤子更能抵抗扰动或无序，允许局部波在更长的距离上保持其形状和能量。这让我们可以推断出一些与DNA中的电荷传输有关的生物学含义。

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引用次数: 0

An analysis of solutions derived from a general third-order flow equation of the Kaup-Newell system kap - newell系统一般三阶流动方程解的分析

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-10-10 DOI: 10.1016/j.wavemoti.2025.103649

Zhi Xin

In this paper, we study a general third-order flow equation of the Kaup-Newell system. By using the Darboux transformation method and the determinant representations of transformation and solutions, several solutions to nonlinear equations have been obtained. Including the single-periodic wave solution, soliton solution, Akhmediev breather, Kuznetsov-Ma breather and rogue wave solution. By analyzing the behavior of the above solutions, we observe that the first-order

q_{x}

term has a rotational effect, which significantly slows down solution collision, ultimately leading to the formation of a single solution.

本文研究了kap - newell系统的一般三阶流动方程。利用达布变换方法和变换与解的行列式表示，得到了几种非线性方程的解。包括单周期波解、孤子解、Akhmediev呼吸器、Kuznetsov-Ma呼吸器和异常波解。通过分析上述解的行为，我们观察到一阶qx项具有旋转效应，它显著减缓了解的碰撞，最终导致单解的形成。

引用次数: 0

Linear propagation of tsunami and acoustic–gravity waves on a sphere: Geometrical focusing and defocusing 海啸和声重力波在球体上的线性传播：几何聚焦和散焦

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-10-10 DOI: 10.1016/j.wavemoti.2025.103643

Byron Williams , Ali Abdolali , Usama Kadri

This study investigates the propagation of tsunami and acoustic–gravity waves at oceanic scales, accounting for the Earth’s curvature within a linear, potential flow framework. While local, near-field analyses often neglect Earth’s curvature and employ Cartesian or cylindrical coordinate systems, this work utilises spherical coordinates to examine wave behaviour over large distances. The analysis reveals that wave amplitudes experience a defocusing effect as they travel from the source (e.g., the Pole) toward the equator, followed by a focusing effect as they approach the antipodal point beyond the equator. A qualitative comparison is made with the 2022 Hunga Tonga–Hunga Ha’apai volcanic eruption in the South Pacific. The study models surface-gravity (tsunami) waves propagating through a compressible water layer, as well as atmospheric acoustic–gravity waves propagating through the air. The entire analysis is carried out within the framework of linear theory.

本研究调查了海啸和声重力波在海洋尺度上的传播，在线性势流框架内考虑地球的曲率。虽然局部的近场分析经常忽略地球的曲率，并使用笛卡尔或柱坐标系，但这项工作利用球坐标来检查远距离上的波的行为。分析表明，当波幅从源（例如，极点）向赤道传播时，会经历散焦效应，随后当它们接近赤道以外的对映点时，会出现聚焦效应。并与2022年南太平洋Hunga Tonga-Hunga Ha 'apai火山喷发进行了定性比较。该研究模拟了通过可压缩水层传播的表面重力（海啸）波，以及通过空气传播的大气声重力波。整个分析是在线性理论的框架内进行的。

引用次数: 0

Comparing lubrication approximation with shallow water equations for viscoplastic flows 粘塑性流动的润滑近似与浅水方程的比较

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-10-09 DOI: 10.1016/j.wavemoti.2025.103648

David Kibe Muchiri , Mathieu Sellier , James N. Hewett , Miguel Moyers-González , Jérôme Monnier

A formal comparative numerical study of the lubrication approximation and the shallow water equations (SWE) for three-dimensional Herschel–Bulkley viscoplastic flows is presented. The validity limits and predictive capabilities of these models are compared across various flow regimes, i.e., in terms of the aspect ratio, inclination angle, rheological properties, basal slipperiness, and Reynolds, Froude, and Bingham numbers. The models’ abilities to capture flow deflections around obstructions are also evaluated. For validation, both model solutions are compared to dam-break experiments. In contrast to some previous works in the literature, both models are shown to adequately reproduce the experimental data in the low Reynolds number regime. The key difference arises during the early phase of a dam-break, where local Froude numbers are high, with the lubrication approximation appearing to overestimate front positions, whereas the SWE solutions align more closely with experimental observations. Furthermore, SWE provides better predictions of flow perturbations caused by obstructions and basal slipperiness. Overall, due to the inclusion of inertial effects, the present SWE model demonstrates broader predictive capability for viscoplastic flow dynamics than the lubrication approximation. However, both models converge as the inclination, aspect ratio, local perturbations, Froude and Reynolds numbers decrease, and as the Bingham number increases.

对三维Herschel-Bulkley粘塑性流动的润滑近似和浅水方程（SWE）进行了形式化的数值比较研究。这些模型的有效性极限和预测能力在不同的流动状态下进行了比较，即在展弦比、倾角、流变特性、基础滑度以及雷诺兹、弗劳德和宾厄姆数方面。模型捕捉障碍物周围气流偏转的能力也进行了评估。为了验证，将两种模型解与溃坝试验进行了比较。与以前的一些文献相比，这两种模型都能充分再现低雷诺数条件下的实验数据。关键的区别出现在溃坝的早期阶段，当地的弗劳德数很高，润滑近似似乎高估了锋面位置，而SWE解决方案与实验观察更接近。此外，SWE可以更好地预测由障碍物和基底滑动引起的流动扰动。总的来说，由于包含惯性效应，目前的SWE模型比润滑近似具有更广泛的粘塑性流动动力学预测能力。然而，随着倾角、展弦比、局部扰动、弗劳德数和雷诺数的减小以及宾厄姆数的增加，两种模型收敛。

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引用次数: 0

Rogue waves on the periodic background in the (2+1)-dimensional Calogero–Degasperis system （2+1）维Calogero-Degasperis系统周期背景上的流氓波

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-10-08 DOI: 10.1016/j.wavemoti.2025.103650

Liru Wang, Zhaqilao

In this paper, we investigate the construction of rogue wave solutions for the (2+1)-dimensional Calogero-Degasperis system on periodic backgrounds. By combining the Jacobian elliptic function expansion method, Darboux transformation techniques, and nonlinearization of the Lax pair, we successfully derive exact rogue wave solutions on the Jacobian elliptic function dn and cn backgrounds. Our analysis reveals important relationships among the three potential functions in the system and demonstrates unique dynamic features of interactions between rogue waves and periodic structures in high-dimensional nonlinear settings.

本文研究了周期背景下（2+1）维Calogero-Degasperis系统异常波解的构造。结合雅可比椭圆函数展开法、Darboux变换技术和Lax对的非线性化，成功地导出了雅可比椭圆函数dn和cn背景下的精确异常波解。我们的分析揭示了系统中三个势函数之间的重要关系，并展示了高维非线性环境下异常波与周期结构相互作用的独特动力学特征。

引用次数: 0

General rogue waves, breathers and hybrid structures of the coupled Boussinesq system 耦合Boussinesq体系的一般异常波、呼吸波和杂化结构

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-10-04 DOI: 10.1016/j.wavemoti.2025.103647

Haifang Song, Songlin Zhao, Bo Ren

In this paper, we concentrate on the rogue waves, breathers and hybrid solutions of the coupled Boussinesq system via the Kadomtsev–Petviashvili (KP) hierarchy reduction method. We construct the Gram determinant solutions for a

(2 + 1)

-dimensional bilinear system in the KP hierarchy which can be reduced to the coupled Boussinesq system. By considering the dimension-reduction condition, the general high-order rogue wave solutions expressed by derivatives with respect to parameters

p

and

q

are derived. For simplicity, the expressions of the rogue waves are replaced by purely algebraic ones with the help of the known Schur polynomials. The rogue waves from first till fourth order and their dynamic properties are numerically investigated. The structures of the

N

th-order rogue waves contain

\frac{N (N + 1)}{2}

first-order rogue waves. As more free parameters appear, the number of patterns increases. The breather solutions are obtained through setting specific parameter conditions in soliton solutions. Then first- and second-order breathers are attained and their dynamics are analyzed numerically. Three different arrangements for the first-order breathers as well as three types of second-order breather waves including interacting waves, parallel waves and coincident waves are displayed. The hybrid solutions containing first-order breather as well as first- and second-order solitons are given with dynamic analysis. A similar way can be used to obtain the

N

th-order rogue waves and the

M

th-order breathers. The method used in the paper can be extended to other integrable equations theoretically.

本文利用Kadomtsev-Petviashvili （KP）层次约简方法研究了耦合Boussinesq系统的异常波、呼吸波和混合解。构造了KP层次中（2+1）维双线性系统的Gram行列式解，该系统可简化为耦合的Boussinesq系统。考虑降维条件，导出了关于参数p和q的导数表示的一般高阶异常波解。为简单起见，在已知的舒尔多项式的帮助下，将异常波的表达式替换为纯粹的代数表达式。数值研究了一阶到四阶的异常波及其动力特性。N阶异常波结构包含N(N+1)2个一阶异常波。随着更多自由参数的出现，模式的数量也会增加。通过在孤子解中设置特定的参数条件，得到了呼吸解。得到了一阶和二阶呼吸体，并对其动力学进行了数值分析。显示了一阶呼吸波的三种不同排列以及三种类型的二阶呼吸波，包括相互作用波、平行波和重合波。给出了含一阶呼吸子和一阶、二阶孤子的混合解，并进行了动力学分析。用类似的方法可以得到n阶异常波和m阶呼吸波。本文所采用的方法在理论上可以推广到其他可积方程。

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引用次数: 0

Elevating plasma physics: The role of higher-order nonlinearities in space dust shock waves with superthermal ions 提升等离子体物理：高阶非线性在具有过热离子的空间尘埃冲击波中的作用

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-10-01 DOI: 10.1016/j.wavemoti.2025.103646

A. Atteya , Reem Altuijri , Kottakkaran Sooppy Nisar , Abdel-Haleem Abdel-Aty , M. Abd-Elzaher , Pralay Kumar Karmakar

This research explores the higher-order nonlinear and dissipative effects on dust acoustic shock waves in a complex plasma medium composed of inertial negative dust particles, Maxwellian electrons, and superthermal ions under the influence of polarization forces. Employing a perturbative approach, the research derives analytical descriptions of both first- and second-order potentials and electric fields, highlighting how these higher-order corrections significantly modify the shock wave structures. The analysis reveals that second-order potentials introduce negative contributions that reduce the overall wave amplitude, while the associated electric fields oppose the first-order fields, leading to self-regulating mechanisms that influence energy transport and wave stability. Numerical evaluations demonstrate how key plasma parameters, such as polarization strength, dust temperature, ion-to-electron density ratio, viscosity, and superthermality-affect phase velocity, nonlinearity, and shock profiles. The findings emphasize that including higher-order effects is crucial for accurately modeling shock dynamics in laboratory with direct relevance to astrophysical plasmas, notably the dynamics observed in planetary ring systems and cosmic dust environments, providing deeper insight into energy dissipation and wave evolution in complex dusty plasma systems.

本文研究了在由惯性负尘埃粒子、麦克斯韦电子和超热离子组成的复杂等离子体介质中，极化力对尘埃声激波的高阶非线性和耗散效应。采用微扰方法，该研究导出了一阶和二阶电位和电场的分析描述，强调了这些高阶修正如何显着改变激波结构。分析表明，二阶电位引入负贡献，降低了整体波幅，而相关电场与一阶电场相反，导致影响能量输运和波稳定性的自我调节机制。数值评估显示了关键的等离子体参数，如极化强度、尘埃温度、离子电子密度比、粘度和超热度，如何影响相速度、非线性和冲击剖面。研究结果强调，包括高阶效应对于准确模拟与天体物理等离子体直接相关的实验室冲击动力学至关重要，特别是在行星环系统和宇宙尘埃环境中观察到的动力学，为复杂尘埃等离子体系统的能量耗散和波演化提供了更深入的了解。

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引用次数: 0

Wave scattering by an array of submerged bars: An analytic approach 淹没杆阵的波散射：一种解析方法

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-09-30 DOI: 10.1016/j.wavemoti.2025.103645

P. Negi , T. Sahoo , V. Sriram , Y. Stepanyants

This paper provides a detailed analytic solution for examining the scattering of surface gravity waves by an array of bars. Depending on the incident wave period, bars are modelled as either trapezoidal or hump-shaped profiles. We formulate the problem as a boundary value problem governed by the mild-slope equation and employ the transfer matrix method to determine the scattering coefficients. Our analysis reveals that the number of bars and their spacing modulate Bragg resonance characteristics, with the number of sub-harmonic peaks between harmonic peaks being two fewer than the number of bars. For non-uniform bar arrays, rainbow reflection occurs, suppressing sub-harmonic peaks and eliminating multiple zeros in wave reflection. As the bar length approaches the water depth, wave diffraction becomes significant. Complete wave reflection by uniform bar arrays demonstrates a behaviour analogous to Fabry-Pérot resonance in optics. The Bragg reflection patterns exhibit distinctive properties: common zero minima for even numbers of bars and common maxima for odd numbers. When examining the inverse case — submerged trenches instead of bars — we observe similar harmonic and subharmonic components with consistent phase shifts and notably reduced reflected wave amplitudes. Wave field analysis demonstrates three distinct regions: standing waves on the incident side, progressive waves on the leeward side, and partly standing waves in the confined region between bars. The sloped geometries of the bar systems induce wave refraction and amplitude decay. Two-dimensional linear time-dependent surface elevations, simulated using a Gaussian pulse, capture the transient wave transformation dynamics throughout the submerged multi-bar systems.

本文给出了用杆阵检测表面重力波散射的详细解析解。根据入射波周期的不同，条形曲线被建模为梯形或驼峰形。我们将该问题表述为由缓坡方程控制的边值问题，并采用传递矩阵法确定散射系数。我们的分析表明，棒数及其间距调制布拉格谐振特性，谐波峰之间的次谐波峰数比棒数少两个。对于非均匀条形阵列，出现彩虹反射，抑制了次谐波峰，消除了波反射中的多个零点。当坝长接近水深时，波衍射变得显著。均匀条形阵列的完全波反射表现出类似于光学中的法布里-普氏共振的行为。布拉格反射模式表现出独特的特性：偶数条有共同的零最小值，奇数条有共同的最大值。当检查相反的情况-淹没沟槽而不是条形-我们观察到相似的谐波和次谐波分量具有一致的相移和显著降低的反射波振幅。波场分析显示了三个不同的区域：入射侧的驻波，背风侧的进行波和杆间受限区域的部分驻波。杆系的倾斜几何形状引起波折射和振幅衰减。二维线性随时间变化的地表高程，利用高斯脉冲模拟，捕捉了整个淹没多棒系统的瞬态波变换动力学。

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引用次数: 0

Two-layer roll waves in rapid gravity currents on mild slopes 缓坡上快速重力流中的两层滚波

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-09-27 DOI: 10.1016/j.wavemoti.2025.103634

Boyuan Yu

The nonlinear development of roll waves in two-layer gravity currents on mild slopes are numerically investigated using an integrated layer model including inertia effect. Periodic roll waves and roll-wave packets initiated by localized disturbance are examined for a realistic range of density and viscosity ratios. When a localized disturbance is introduced initially, the leading wave in the roll-wave packet for both of the layers (referred to as the ”front runner”) could develop exceedingly large peak depth and velocity which increase as the wave packet travels downstream. The upper-layer roll wave and lower-layer roll wave show different characteristics. The amplitude of upper-layer roll wave was found to be significantly larger than that of the lower-layer roll wave. Furthermore, peaks of upper-layer periodic roll waves or front runners always coincide with the shock-like wavefront, while peaks of lower-layer front runners with sufficiently large amplitudes are connected to the shock-like wavefront by a smooth profile. Simulations for three-dimensional two-layer flows using the integrated layer model extended to two dimensions demonstrate similar front-runner existence. However, the three-dimensional front runner has remarkably smaller peak depth and velocity than its unidirectional counterpart due to the transversal spreading of the wavefront.

采用考虑惯性效应的综合层模型，对缓坡上两层重力流中横摇波的非线性发展进行了数值研究。在密度和粘度比的实际范围内，研究了由局部扰动引起的周期性滚波和滚波包。当最初引入局部扰动时，两层的滚波包中的前导波（称为“领跑者”）可能会产生非常大的峰值深度和速度，并且随着波包向下游传播而增加。上层轧辊波和下层轧辊波表现出不同的特征。上层横摇波幅值明显大于下层横摇波幅值。此外，上层周期滚转波或前流道的峰值总是与类激波前重合，而低层振幅足够大的前流道的峰值则通过光滑的剖面与类激波前相连。利用扩展到二维的积分层模型对三维两层流动进行模拟，也证实了类似的领跑者存在。然而，由于波前的横向扩散，三维前导波的峰值深度和速度明显小于单向前导波。

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引用次数: 0