New solutions from nonlocal symmetry of the generalized fifth order KdV equation

doi:10.1088/1674-1056/24/8/080202

Abstract The nonlocal symmetry of the generalized fifth order KdV equation (FOKdV) is first obtained by using the related Lax pair and then localizing it in a new enlarged system by introducing some new variables. On this basis, new Bäcklund transformation is obtained through Lie's first theorem. Furthermore, the general form of Lie point symmetry for the enlarged FOKdV system is found and new interaction solutions for the generalized FOKdV equation are explored by using a symmetry reduction method.

Keywords: generalized fifth order KdV equation localization procedure nonlocal symmetry symmetry reduction solution

Received: 22 January 2015
Revised: 06 March 2015
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)
	47.35.Fg	(Solitary waves)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11347183, 11405110, 11275129, and 11305106) and the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y7080455 and LQ13A050001).

Corresponding Authors: Liu Xi-Zhong
E-mail: liuxizhong123@163.com

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Liu Xi-Zhong (刘希忠), Yu Jun (俞军), Ren Bo (任博) New solutions from nonlocal symmetry of the generalized fifth order KdV equation 2015 Chin. Phys. B 24 080202

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New solutions from nonlocal symmetry of the generalized fifth order KdV equation

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