A Method to Construct the Nonlocal Symmetries of Nonlinear Evolution Equations

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2013,（10）
• 页码范围: 5-8
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/30/10/100202

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-Petviashyili equation,the A blowitz-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.