Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev--Petviashvili Equation

Chin. Phys. Lett.

2006, Vol. 23

Issue (7): 1662-1665 DOI:

Original Articles

Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev--Petviashvili Equation

DENG Shu-Fang

Department of Mathematics, East China University of Science and Technology, Shanghai 200237

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DENG Shu-Fang 2006 Chin. Phys. Lett. 23 1662-1665

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Abstract The bilinear form for a nonisospectral and variable-coefficient Kadomtsev--Petviashvili equation is obtained and some exact soliton solutions are derived by the Hirota method and Wronskian technique. We also derive the bilinear Bäcklund transformation from its Lax pairs and find solutions with the help of the obtained bilinear Bäcklund transformation.

Keywords: 02.30.Ik 05.45.Yv

Published: 01 July 2006

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

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I7/01662

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