Negative order mKdV equation and N-solitons

被引：4
|
作者：
Wang, Yun [1 ]
Tian, Lixin [2 ]
Zhang, Yingnan [3 ]
机构：
[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Jiangsu, Peoples R China
[2] Jiangsu Univ, Sch Math Sci, Zhenjiang, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 146卷
基金：
中国国家自然科学基金;
关键词：
Negative order mKdV equation; Backlund transformation; N-solitons; KDV; HIERARCHIES;
D O I：
10.1016/j.aml.2023.108802
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a negative order modified Korteweg-de Vries equation (nmKdV). Utilizing Hirota's bilinear method, Backlund transformations are con-structed to obtain explicit solutions for N-solitons. The solitons exhibit cuspon-like behavior under certain parameter selections. Furthermore, connections between the nmKdV equation and other soliton equations, such as the short pulse equation, the sine-Gordon equation, and the Liouville equation, are investigated. & COPY; 2023 Elsevier Ltd. All rights reserved.
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页数：7
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