Finite symmetry transformation group of the Konopelchenko–Dubrovsky equation from its Lax pair

doi:10.1088/1674-1056/21/2/020202

Abstract Starting from a weak Lax pair, the general Lie point symmetry group of the Konopelchenko-Dubrovsky equation is obtained by using the general direct method. And the corresponding Lie algebra structure is proved to be a Kac-Moody-Virasoro type. Furthermore, a new multi-soliton solution for the Konopelchenko-Dubrovsky equation is also given from this symmetry group and a known solution.

Keywords: Lax pairs symmetries symmetry group exact solution

Received: 29 June 2011
Revised: 24 September 2011
Accepted manuscript online:

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. 10875078) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y7080455).

Corresponding Authors: Yu Jun,junyu@usx.edu.cn
E-mail: junyu@usx.edu.cn

Cite this article:

Hu Han-Wei(胡瀚玮) and Yu Jun(俞军) Finite symmetry transformation group of the Konopelchenko–Dubrovsky equation from its Lax pair 2012 Chin. Phys. B 21 020202

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Finite symmetry transformation group of the Konopelchenko–Dubrovsky equation from its Lax pair

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