Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients

doi:10.1088/1674-1056/20/11/110204

Abstract In this paper, we apply the binary Bell polynomial approach to high-dimensional variable-coefficient nonlinear evolution equations. Taking the generalized (2+1)-dimensional KdV equation with variable coefficients as an illustrative example, the bilinear formulism, the bilinear Bäcklund transformation and the Lax pair are obtained in a quick and natural manner. Moreover, the infinite conservation laws are also derived.

Keywords: binary Bell polynomial bilinear B?cklund transformation Lax pair conservation law

Received: 13 April 2011
Revised: 17 May 2011
Accepted manuscript online:

PACS:	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10831003) and the Natural Science Foundation of Zhejiang Province, China (Grant Nos. Y6100791 and R6090109).

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Zhang Yi(张翼), Wei Wei-Wei(魏薇薇), Cheng Teng-Fei(程腾飞), and Song Yang(宋洋) Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients 2011 Chin. Phys. B 20 110204

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Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients

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