A Method to Construct the Nonlocal Symmetries of Nonlinear Evolution Equations

doi:10.1088/0256-307X/30/10/100202

Chin. Phys. Lett.

2013, Vol. 30

Issue (10): 100202 DOI: 10.1088/0256-307X/30/10/100202

GENERAL

A Method to Construct the Nonlocal Symmetries of Nonlinear Evolution Equations

XIN Xiang-Peng, CHEN Yong^**

Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062

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XIN Xiang-Peng, CHEN Yong 2013 Chin. Phys. Lett. 30 100202

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Abstract 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.

Received: 06 May 2013 Published: 21 November 2013

PACS:	02.30.Jr	(Partial differential equations)
	11.10.Lm	(Nonlinear or nonlocal theories and models)
	02.20.-a	(Group theory)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/10/100202 OR https://cpl.iphy.ac.cn/Y2013/V30/I10/100202

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