文献类型：期刊文献

英文题名：New Backlund transformations of the (2+1)-dimensional Bogoyavlenskii equation via localization of residual symmetries

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：76

期号：7

起止页码：1669

外文期刊名：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000446151800009)、、WOS

基金：The authors are grateful to the referees for their helpful suggestions and would like to thank Profs S.Y. Lou and J. Lin for their useful discussions. 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：(2+1)-dimensional Bogoyavlenskii equation; Residual symmetry; Backlund transformation

外文摘要：The residual symmetry of the (2+1)-dimensional Bogoyavlenskii equation is obtained and localized to a Lie point symmetry by introducing new dependent variables to enlarge the system, then the corresponding finite transformation is obtained by using Lie's first theorem. Furthermore, by introducing more dependent variables, the linear superposition of arbitrary number of residual symmetries is also localized and the corresponding finite transformations which are just Nth Backlund transformations of the (2+1)-dimensional Bogoyavlenskii equation are obtained in determinants form with some concrete solutions explicitly given. (C) 2018 Elsevier Ltd. All rights reserved.