Solitary wave solutions and their limits to the fractional Schrödinger system

被引：0

作者：

Fu, Guoyi ^{[1
,2
]}

Chen, Xiaoyan ^{[1
,2
]}

Zhu, Shihui ^{[1
,2
]}

机构：

[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610066, Peoples R China

[2] Sichuan Normal Univ, VC & VR Key Lab, Chengdu 610066, Peoples R China

来源：

WAVE MOTION | 2024年 / 131卷

关键词：

Conformable fractional Schr & ouml; dinger system; Dynamic system method; Solitary wave solution; Linear stability; MECHANICS;

D O I：

10.1016/j.wavemoti.2024.103416

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This study is concerned with solitary wave solutions and the dynamic behavior of the (2+1)- dimensional nonlinear fractional Schrodinger 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 Schrodinger system were investigated.

引用

页数：19