Residual symmetry, CRE integrability and interaction solutions of two higher-dimensional shallow water wave equations  

作　　者：刘希忠 李界通 俞军 Xi-Zhong Liu;Jie-Tong Li;Jun Yu(Institute of Nonlinear Science,Shaoxing University,Shaoxing 312000,China)

机构地区：[1]Institute of Nonlinear Science,Shaoxing University,Shaoxing 312000,China

出　　处：《Chinese Physics B》2023年第11期313-319,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11975156 and 12175148)。

摘　　要：Two(3+1)-dimensional shallow water wave equations are studied by using residual symmetry and the consistent Riccati expansion(CRE) method. Through localization of residual symmetries, symmetry reduction solutions of the two equations are obtained. The CRE method is applied to the two equations to obtain new B?cklund transformations from which a type of interesting interaction solution between solitons and periodic waves is generated.

关 键 词：(3+1)-dimensional shallow water wave equation residual symmetry consistent Riccati expansion 

分 类 号：O175[理学—数学]