Symmetry analysis and interaction solutions for the (2+1)-dimensional Kaup-Kupershmidt system

被引：0
作者：
Sheng, Qing [1 ]
Wo, Weifeng [1 ]
机构：
[1] Ningbo Univ, Ctr Nonlinear Studies, Ningbo 815211, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 58卷
基金：
中国国家自然科学基金;
关键词：
(2+1)-Dimensional; Kaup-Kupershmidt system; Nonlocal symmetry; CRE method; Interaction solutions; SOLITON-SOLUTIONS; EQUATIONS; REDUCTIONS;
D O I：
10.1016/j.aml.2016.02.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonlocal symmetries for the (2 + 1)-dimensional Kaup Kupershmidt (KK) system are obtained with the truncated Painleve method, and this kind of nonlocal symmetries can be localized to the Lie point symmetries by extending the original equation to a new system. Then the corresponding finite symmetry transformation group is computed. Furthermore, it is also proved that the (2 + 1)-dimensional KK system is consistent Riccati expansion (CRE) solvable. By the CRE method, new interaction solutions between solitons and cnoidal waves are presented. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：165 / 171
页数：7
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