Prolongation structure for nonlinear integrable couplings of a KdV soliton hierarchy

doi:10.1088/1674-1056/21/1/010201

Abstract In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. From the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquist and Estabrook, we study the prolongation structure of the nonlinear integrable couplings of the KdV equation.

Keywords: nonlinear integrable coupling system prolongation structure KdV soliton hierarchy

Received: 10 July 2011
Revised: 08 September 2011
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the Scientific Research Fundation of the Education Department of Liaoning Province, China (Grant No. L2010513) and the China Postdoctoral Science Foundation (Grant No. 2011M500404 ).

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Yu Fa-Jun(于发军) Prolongation structure for nonlinear integrable couplings of a KdV soliton hierarchy 2012 Chin. Phys. B 21 010201

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[1]	A nonlinear discrete integrable coupling system and its infinite conservation laws Yu Fa-Jun (于发军 ). Chin. Phys. B, 2012, 21(11): 110202.
[2]	Prolongation structure of the variable coefficient KdV equation Yang Yun-Qing(杨云青) and Chen Yong(陈勇) . Chin. Phys. B, 2011, 20(1): 010206.

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Prolongation structure for nonlinear integrable couplings of a KdV soliton hierarchy

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