Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation

被引：10
|
作者：
Sun, Hong-Qian [1 ]
Zhu, Zuo-Nong [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2022年 / 436卷
基金：
中国国家自然科学基金;
关键词：
Spatial discrete coupled complex short pulse equation; Darboux transformation; Soliton solutions; Interaction of solitons and their asymptotic behavior; PARTIAL DIFFERENCE-EQUATIONS; WAVE SOLUTIONS; KDV EQUATION; SYSTEM;
D O I：
10.1016/j.physd.2022.133312
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper aims to constructing the Darboux transformation and soliton solutions of the focusing and defocusing spatial discrete coupled complex short pulse (sd-CCSP) equation. With the Darboux transformation, we derived three types of soliton solutions for the focusing sd-CCSP equation, which include smooth-, cuspon-and loop-type. These solutions converge to exact solutions for the focusing CCSP equation in the continuum limit. The interaction of two solitons and their asymptotic behavior are analyzed. We also obtain three types of soliton solutions for the defocusing sd-CCSP equation, as well as the rational solutions for the focusing sd-CCSP equation. We find that there exist new properties of soliton solutions for the sd-CCSP equation which do not exist in the sd-CSP equation, and there is a big difference between sd-CCSP equation and spatial discrete coupled nonlinear Schrodinger (sd-CNLS) equation. (C) 2022 Published by Elsevier B.V.
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收藏
页数：13
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