文献类型：期刊文献

英文题名：New Backlund transformations of the (2+1)-dimensional Burgers system related to residual symmetry

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：133

期号：3

外文期刊名：EUROPEAN PHYSICAL JOURNAL PLUS

收录：SCI-EXPANDED(收录号：WOS:000426643000001)、、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

外文摘要：Through truncated Painleve expansion of the (2 + 1)-dimensional Burgers system the residual symmetry is obtained and localized to a local one in an enlarged system by introducing new dependent variables. Using Lie's first theorem, the Backlund transformation related to the localized residual symmetry is derived. Furthermore, the N-th-Backlund transformation of the (2 + 1)-dimensional Burgers system, which is expressed by determinants in a compact form, related to the symmetry of linear superposition of multiple residual symmetries is obtained through localization procedure.