Localization of Nonlocal Symmetries and Symmetry Reductions of Burgers Equation

作     者：吴剑文 楼森岳 俞军 

作者机构：Center for Nonlinear Science and Department of Physics Ningbo University Institute of Nonlinear Science Shaoxing University 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2017年第67卷第5期

页      面：467-472页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：integrable systems Burgers equation nonlocal symmetries interactions among different waves 

摘      要：The nonlocal symmetries of the Burgers equation are explicitly given by the truncated Painlevé *** 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.