Resonant solutions of the Davey–Stewartson II equation and their dynamics

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-02-07 DOI:10.1016/j.wavemoti.2024.103294

Jiguang Rao , Dumitru Mihalache , Jingsong He , Yi Cheng

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引用次数: 0

Abstract

This paper aims to study the evolution dynamics of resonant solutions of the Davey–Stewartson II equation. The resonant solutions can depict diverse collision scenarios among periodic solitons themselves or among periodic solitons with algebraic decaying solitons. A significant finding in these particular collisions is the observation of wave structure transitions in the algebraic decaying solitons, along with notable changes in their dynamics. We show that the algebraic decaying solitons undergo a transition from states with non-localized behaviour in either space or time to states with localized behaviour in either space or time, or to states with localized behaviour in both time and space. The algebraic decaying solitons, exhibiting dual localization in both time and space, closely resemble two-dimensional localized waves in physical systems. They serve as effective tools for comprehending various nonlinear physical phenomena.

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Davey-Stewartson II方程的共振解及其动力学原理

本文旨在研究 Davey-Stewartson II 方程共振解的演化动力学。共振解可以描述周期孤子之间或周期孤子与代数衰减孤子之间的各种碰撞情况。在这些特殊碰撞中的一个重要发现是观察到代数衰变孤子的波结构转换，以及其动力学的显著变化。我们表明，代数衰变孤子经历了从空间或时间上的非局部行为状态到空间或时间上的局部行为状态，或时间和空间上的局部行为状态的转变。代数衰变孤子在时间和空间上都表现出双重局部性，与物理系统中的二维局部波非常相似。它们是理解各种非线性物理现象的有效工具。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.