Bilinear B?cklund transformation and explicit solutions for a nonlinear evolution equation

doi:10.1088/1674-1056/19/4/040304

Abstract The bilinear form of two nonlinear evolution equations are derived by using Hirota derivative. The B?cklund transformation based on the Hirota bilinear method for these two equations are presented, respectively. As an application, the explicit solutions including soliton and stationary rational solutions for these two equations are obtained.

Keywords: Hirota method B?cklund transformation soliton solution

Received: 26 August 2009
Revised: 15 September 2009
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the Science Research Foundation of Zhanjiang Normal University (Grant No.~L0803).

Cite this article:

Wu Yong-Qi(吴勇旗) Bilinear B?cklund transformation and explicit solutions for a nonlinear evolution equation 2010 Chin. Phys. B 19 040304

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