New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation

Chin. Phys. Lett.

2007, Vol. 24

Issue (1): 1-4 DOI:

Original Articles

New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation

HU Heng-Chun¹;ZHU Hai-Dong²

¹College of Science, University of Shanghai for Science and Technology, Shanghai 200093 ²National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800

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HU Heng-Chun, ZHU Hai-Dong 2007 Chin. Phys. Lett. 24 1-4

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Abstract New exact solutions of the (2+1)-dimensional double sine-Gordon equation are studied by introducing the modified mapping relations between the cubic nonlinear Klein--Gordon system and double sine-Gordon equation. Two arbitrary functions are included into the Jacobi elliptic function solutions. New doubly periodic wave solutions are obtained and displayed graphically by proper selections of the arbitrary functions.

Keywords: 02.30.Jr 02.30.Ik 05.45.Yv 11.10.Lm

Published: 01 January 2007

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)
	11.10.Lm	(Nonlinear or nonlocal theories and models)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2007/V24/I1/01

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