A Method to Construct the Nonlocal Symmetries of Nonlinear Evolution Equations  

作　　者：XIN Xiang-Peng CHEN Yong 辛祥鹏;陈勇(Shanghai Key Laboratory of Trustworthy Computing,East China Normal University,Shanghai 200062)

机构地区：[1]Shanghai Key Laboratory of Trustworthy Computing,East China Normal University,Shanghai 200062

出　　处：《Chinese Physics Letters》2013年第10期5-8,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 11075055 and 11275072;the Innovative Research Team Program of the National Natural Science Foundation of China(No 61021004);the National High-Technology Research and Development Program of China(No 2011AA010101);Shanghai Knowledge Service Platform for Trustworthy Internet of Things(No ZF1213)。

摘　　要：A method is proposed to seek the nonlocal symmetries of nonlinear evolution equations.The validity and advantages of the proposed method are illustrated by the applications to the Boussinesq equation,the coupled Korteweg-de Vries system,the Kadomtsev–Petviashvili equation,the Ablowitz–Kaup–Newell–Segur equation and the potential Korteweg-de Vries equation.The facts show that this method can obtain not only the nonlocal symmetries but also the general Lie point symmetries of the given equations.

关 键 词：EQUATIONS EQUATION EQUATION 

分 类 号：O17[理学—数学]