N-soliton solutions of an integrable equation studied by Qiao

doi:10.1088/1674-1056/22/4/040201

Abstract In this paper, we studied N-soliton solutions of a new integrable equation studied by Qiao [J. Math. Phys. 48 082701 (2007)]. Firstly, we employed the Darboux matrix method to construct a Darboux transformation for the modified Korteweg-de Vries equation. Then we use the Darboux transformation and a transformation, introduced by Sakovich [J. Math. Phys. 52 023509 (2011)], to derive N-soliton solutions of the new integrable equation from the seed solution. In particular, the multiple soliton solutions are explicitly obtained and shown through some figures.

Keywords: soliton solution Darboux transformation integrable equation

Received: 09 August 2012
Revised: 08 October 2012
Published: 01 March 2013

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

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11261037), the High Education Science Research Rund of China (Grant No. 211034), and the High Education Science Research Program of Inner Mongolia Autonomous Region, China (Grant No. NJ10045).

Corresponding Authors: Zhaqilao
E-mail: zhaqilao@imnu.edu.cn

Cite this article:

Zhaqilao N-soliton solutions of an integrable equation studied by Qiao 2013 Chin. Phys. B 22 040201

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