Darboux transformation and novel solitons of a coupled system

被引:0
作者
Xianghua Jiang
Xifang Cao
机构
[1] Danyang Normal School,School of Mathematical Sciences
[2] Zhenjiang College,undefined
[3] Yangzhou University,undefined
来源
Indian Journal of Pure and Applied Mathematics | 2022年 / 53卷
关键词
Darboux transformation; Kink; Soliton; Kink-soliton; Twins-soliton;
D O I
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中图分类号
学科分类号
摘要
In this paper we give a Darboux transformation for a coupled system. As the applications of that system, applying our Darboux transformation to some trivial seed solutions we construct some new solutions, such as kink, soliton, kink-soliton and twins-soliton. The twins-soliton obtained in this paper is a travelling wave solution and so its wave form does not change with the time. We also show that two such twins-solitons are unaltered in shape and speed after the nonlinear interaction.
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页码:413 / 424
页数:11
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