文献类型：期刊文献

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

作者：刘希忠[1];李界通[1];俞军[1]

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

年份：2023

卷号：32

期号：11

起止页码：313

中文期刊名：中国物理B:英文版

外文期刊名：Chinese Physics B

收录：SCI-EXPANDED(收录号：WOS:001105659600001)、CSTPCD、、EI(收录号：20234915143273)、CSCD2023_2024、Scopus(收录号：2-s2.0-85178386903)、WOS、CSCD、PubMed

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

语种：中文

中文关键词：(3+1)-dimensional shallow water wave equation;residual symmetry;consistent Riccati expansion

中文摘要：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.