New interaction solutions of the Kadomtsev-Petviashvili equation

doi:10.1088/1674-1056/23/10/100201

Abstract The residual symmetry relating to the truncated Painlevé expansion of the Kadomtsev-Petviashvili (KP) equation is nonlocal, which is localized in this paper by introducing multiple new dependent variables. By using the standard Lie group approach, new symmetry reduction solutions for the KP equation are obtained based on the general form of Lie point symmetry for the prolonged system. In this way, the interaction solutions between solitons and background waves are obtained, which are hard to find by other traditional methods.

Keywords: Kadomtsev-Petviashvili equation localization procedure residual symmetry Bäcklund transformation symmetry reduction solution

Received: 24 January 2014
Revised: 08 April 2013
Accepted manuscript online:

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

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11347183, 11275129, 11305106, 11405110, and 11365017) and the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y7080455 and LQ13A050001).

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

About author: 02.30.Jr; 02.30.Ik; 05.45.Yv; 47.35.Fg

Cite this article:

Liu Xi-Zhong (刘希忠), Yu Jun (俞军), Ren Bo (任博), Yang Jian-Rong (杨建荣) New interaction solutions of the Kadomtsev-Petviashvili equation 2014 Chin. Phys. B 23 100201


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