文献类型：期刊文献

英文题名：Backlund transformations for the Burgers equation via localization of residual symmetries

作者：Liu Xi-Zhong[1];Yu Jun[1];Ren Bo[1];Yang Jian-Rong[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Shangrao Normal Univ, Dept Phys & Elect, Shangrao 334001, Peoples R China

年份：2014

卷号：23

期号：11

外文期刊名：CHINESE PHYSICS B

收录：SCI-EXPANDED(收录号：WOS:000345124600003)、、WOS

基金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11347183, 11275129, 11305106, 11365017, and 11405110) and the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y7080455 and LQ13A050001).

语种：英文

外文关键词：Burgers equation; residual symmetry; Backlund transformation

外文摘要：We obtain the non-local residual symmetry related to truncated Painleve expansion of Burgers equation. In order to localize the residual symmetry, we introduce new variables to prolong the original Burgers equation into a new system. By using Lie's first theorem, we obtain the finite transformation for the localized residual symmetry. More importantly, we also localize the linear superposition of multiple residual symmetries to find the corresponding finite transformations. It is interesting to find that the n-th Backlund transformation for Burgers equation can be expressed by determinants in a compact way.