New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein-Gordon Equation

doi:10.1088/0256-307X/26/4/040201

Chin. Phys. Lett.

2009, Vol. 26

Issue (4): 040201 DOI: 10.1088/0256-307X/26/4/040201

GENERAL

New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein-Gordon Equation

Ma Hong-Cai¹, Deng Ai-Ping¹, Qin Zhen-Yun²

¹Department of Applied Mathematics, College of Science, Donghua University, Shanghai 201620²Department of Mathematics, Fudan University, Shanghai 200433

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Ma Hong-Cai, Deng Ai-Ping, Qin Zhen-Yun 2009 Chin. Phys. Lett. 26 040201

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Abstract With the help of the homogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method, the first elliptic function equation is used to obtain the Jacobi doubly periodic wave solutions of the (2+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and the generalized Klein-Gordon equation. The method is also valid for other (1+1)-dimensional and higher dimensional systems.

Keywords: 02.03.Ik 02.30.Jr

Received: 02 February 2009 Published: 25 March 2009

PACS:	02.03.Ik
	02.30.Jr	(Partial differential equations)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/4/040201 OR https://cpl.iphy.ac.cn/Y2009/V26/I4/040201

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