Solitary wave solutions and their limits to the fractional Schrödinger system

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-09-18 DOI:10.1016/j.wavemoti.2024.103416

Guoyi Fu, Xiaoyan Chen, Shihui Zhu

引用次数: 0

Abstract

This study is concerned with solitary wave solutions and the dynamic behavior of the (2+1)-dimensional nonlinear fractional Schrödinger system. By exploring the dynamic properties of the equilibrium levels to the corresponding Hamiltonian, the expressions of exact solutions of the above system are obtained, including solitary wave solutions, periodic wave solutions, singular periodic wave solutions, singular wave solutions, kink wave solutions, and anti-kink wave solutions. Moreover, the linear stability, geometric characteristics, and limiting behavior of these solutions to the nonlinear fractional Schrödinger system were investigated.

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分数薛定谔系统的孤波解及其极限

本研究关注（2+1）维非线性分数薛定谔系统的孤波解和动力学行为。通过探索相应哈密顿的平衡级的动态特性，得到了上述系统的精确解的表达式，包括孤波解、周期波解、奇异周期波解、奇异波解、扭结波解和反扭结波解。此外，还研究了这些解对非线性分数薛定谔系统的线性稳定性、几何特性和极限行为。

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.