文献类型：期刊文献

中文题名：Localization of Nonlocal Symmetries and Symmetry Reductions of Burgers Equation

英文题名：Localization of Nonlocal Symmetries and Symmetry Reductions of Burgers Equation

作者：Wu, Jian-Wen[1,2];Lou, Sen-Yue[1,2];Yu, Jun[3]

机构：[1]Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China;[2]Ningbo Univ, Dept Phys, Ningbo 315211, Zhejiang, Peoples R China;[3]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2017

卷号：67

期号：5

起止页码：467

中文期刊名：理论物理通讯：英文版

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000403252600001)、CSTPCD、、Scopus(收录号：2-s2.0-85020508741)、WOS、CSCD2017_2018、CSCD、PubMed

基金：Supported by the Global Change Research Program China under Grant No. 2015CB953904, the Nationa lNatural Science Foundations of China under Grant Nos. 11435005, 11175092, and 11205092, Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No. ZF1213, and K. C. Wong Magna Fund in Ningbo University

语种：英文

中文关键词：integrable systems;Burgers equation;nonlocal symmetries;interactions among different waves

外文关键词：integrable systems; Burgers equation; nonlocal symmetries; interactions among different waves

中文摘要：The nonlocal symmetries of the Burgers equation are explicitly given by the truncated Painlevé method.The auto-B?cklund transformation and group invariant solutions are obtained via the localization procedure for the nonlocal residual symmetries. Furthermore, the interaction solutions of the solition-Kummer waves and the solition-Airy waves are obtained.

外文摘要：The nonlocal symmetries of the Burgers equation are explicitly given by the truncated Painleve method. The auto-Backlund transformation and group invariant solutions are obtained via the localization procedure for the nonlocal residual symmetries. Furthermore, the interaction solutions of the solition-Kummer waves and the solition-Airy waves are obtained.