文献类型：期刊文献

中文题名：Residual symmetry reductions and interaction solutions of the (2+1)-dimensional Burgers equation

英文题名：Residual symmetry reductions and interaction solutions of the (2+1)-dimensional Burgers equation

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：2015

卷号：0

期号：1

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:000350701400003)、CSTPCD、、EI(收录号：20150700519173)、CSCD2015_2016、Scopus(收录号：2-s2.0-84922496433)、WOS、CSCD

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

中文关键词：Burgers方程;局部对称;剩余;交互;相互作用;非线性波;非线性物理;非线性激发

外文关键词：residual symmetry; Backlund transformation; symmetry reduction solution; generalized tanh expansion method

中文摘要：In nonlinear physics,it is very difficult to study interactions among different types of nonlinear waves.In this paper,the nonlocal symmetry related to the truncated Painleve′expansion of the(2+1)-dimensional Burgers equation is localized after introducing multiple new variables to extend the original equation into a new system.Then the corresponding group invariant solutions are found,from which interaction solutions among different types of nonlinear waves can be found.Furthermore,the Burgers equation is also studied by using the generalized tanh expansion method and a new Ba¨cklund transformation(BT)is obtained.From this BT,novel interactive solutions among different nonlinear excitations are found.

外文摘要：In nonlinear physics, it is very difficult to study interactions among different types of nonlinear waves. In this paper, the nonlocal symmetry related to the truncated Painleve expansion of the (2+1)-dimensional Burgers equation is localized after introducing multiple new variables to extend the original equation into a new system. Then the corresponding group invariant solutions are found, from which interaction solutions among different types of nonlinear waves can be found. Furthermore, the Burgers equation is also studied by using the generalized tanh expansion method and a new Backlund transformation (BT) is obtained. From this BT, novel interactive solutions among different nonlinear excitations are found.