Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations

被引：0
作者：
Hanze Liu
Chao Yue
机构：
[1] Liaocheng University,School of Mathematical Sciences
[2] Taishan Medical University,College of Medical Information Engineering
来源：
Nonlinear Dynamics | 2017年 / 89卷
关键词：
Vc-NLEE; Cylindrical KdV types of equation; Integrable condition; Bäcklund transformation; Lax pair; Symmetry; Exact solution; 37L20; 37K10; 35C05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the variable-coefficient nonlinear evolution equations, which include the cylindrical KdV types of equations. By the combination of Painlevé analysis and Lie group classification method, the integrable conditions, Bäcklund transformations and Lax pairs of the equations are obtained, all of the geometric vector fields of the equations are presented. Then, the relationship among Lie group classification, Painlevé analysis and CK transformation method is considered. Furthermore, the exact solutions generated from the Bäcklund transformations and symmetry reductions of the vc-KdV types of equations are investigated.
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页码：1989 / 2000
页数：11
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