Complex and coupled complex negative order AKNS equation

被引：11

作者：

Yu, Guo-Fu ^{[1
]}

Lao, Dong ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200740, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 30卷 / 1-3期

基金：

中国国家自然科学基金;

关键词：

Complex negative order AKNS equation; Hirota method; Pfaffian; Soliton interaction; CAMASSA-HOLM EQUATION; SHORT-PULSE; PROPAGATION; SOLITONS;

D O I：

10.1016/j.cnsns.2015.06.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a complex negative order AKNS equation and a coupled complex negative order AKNS equation. They are integrable due to the existence of Lax pairs. Furthermore, we find their multi-soliton solutions in terms of Pfaffians by virtue of Hirota's bilinear method. One- and two-soliton solutions are investigated in detail exhibiting favorable evolution properties. Especially, the same as the coupled nonlinear Schrodinger equation, inelastic interactions and energy re distribution happen between two solitons, that has potential applications and deserve further study. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：196 / 206

页数：11

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