Backlund transformation, residual symmetry and exact interaction solutions of an extended (2+1)-dimensional Korteweg-de Vries equation

被引：8

作者：

Wu, Huiling ^{[1
]}

Chen, Qiaoyun ^{[1
]}

Song, Junfeng ^{[2
]}

机构：

[1] Lishui Univ, Dept Math, Lishui 323000, Peoples R China

[2] Lishui Univ, Dept Comp Sci & Technol, Lishui 323000, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 124卷

关键词：

Extended (2+1)-dimensional KdV equation; Backlund transformation; Nonlocal residual symmetry; Consistent tanh expansion method; Interaction solution; NONLOCAL SYMMETRIES; SOLVABILITY;

D O I：

10.1016/j.aml.2021.107640

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting from the truncated Painleve expansion, auto-and non-auto Backlund transformations are constructed for an extended (2+1)-dimensional Korteweg-de Vries equation. Then nonlocal residual symmetry is derived and localized to obtain the finite group transformation. By virtue of a simple connection between the truncated Painleve expansion and the consistent tanh expansion (CTE) method, exact single soliton and resonant two-soliton solutions as well as interaction solutions between soliton and cnoidal wave are presented explicitly. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：7

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