文献类型：期刊文献

英文题名：Residual symmetry, CRE integrability and interaction solutions of the (3+1)-dimensional breaking soliton equation

作者：Liu, Xi-Zhong[1];Yu, Jun[1];Lou, Zhi-Mei[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2018

卷号：93

期号：8

外文期刊名：PHYSICA SCRIPTA

收录：SCI-EXPANDED(收录号：WOS:000437421600001)、、EI(收录号：20183305695202)、Scopus(收录号：2-s2.0-85051408116)、WOS

基金：This work was supported by the National Natural Science Foundation of China under Grant Nos. 11405110,11275129, 11472177 and the Natural Science Foundation of Zhejiang Province of China under Grant No. LY18A050001.

语种：英文

外文关键词：(3+1)-dimensional breaking soliton equation; residual symmetry; consistent Riccati expansion

外文摘要：Residual symmetry of the (3+1)-dimensional breaking soliton equation is obtained and localized to a Lie point symmetry in a properly prolonged system. The general form of Lie point symmetry group and the corresponding symmetry reduction solutions of the prolonged system are obtained by using the standard Lie symmetry method, which include various interaction solutions between solitons and nonlinear background waves of the (3+1)-dimensional breaking soliton equation. Furthermore, the (3+1)-dimensional breaking soliton equation is proved to be integrable in the sense of having consistent Riccati expansion. Based on this property, some new Backlund transformations of the (3+1)-dimensional breaking soliton equation are obtained, from which interaction solutions between solitions and cnoidal waves are explicitly given.