Pseudopotentials, Lax Pairs and B&auml;cklund Transformations for Generalized Fifth-Order KdV Equation

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Communications in Theoretical Physics ›› 2011, Vol. 55 ›› Issue (01) : 25-28.

Pseudopotentials, Lax Pairs and Bäcklund Transformations for Generalized Fifth-Order KdV Equation

YANg Yun-Qing¹ and CHEN Yong^1,2

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Abstract

Based on the method developed by Nucci, the pseudopotentials, Lax pairs and the singularity manifold equations of the generalized fifth-order KdV
equation are derived. By choosing different coefficient, the corresponding results and the Bäcklund transformations can be obtained on three conditioners which include Caudrey-Dodd-Gibbon-Sawada-Kotera equation, the Lax equation and the Kaup-kupershmidt equation.

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generalized fifth-order KdV equation / pseudopotential / Lax pair / Bäcklund transformation

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YANg Yun-Qing and CHEN Yong,. Pseudopotentials, Lax Pairs and Bäcklund Transformations for Generalized Fifth-Order KdV Equation[J]. Communications in Theoretical Physics, 2011, 55(01): 25-28