Riemann theta function periodic wave solutions for the variable-coefficient mKdV equation

doi:10.1088/1674-1056/21/12/120203

Abstract In this paper, a variable-coefficient mKdV equation is considered. Bilinear forms is presented to explicitly construct periodic wave solutions based on a multidimensional Riemann theta function, then the one and two periodic wave solutions are presented, and it is also shown that the soliton solutions can be reduced from the periodic wave solutions.

Keywords: variable-coefficient mKdV equation Riemann theta function soliton solutions periodic wave solutions

Received: 15 May 2012
Revised: 31 May 2012
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	05.45.Yv	(Solitons)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10771196 and 10831003) and the Innovation Project of Zhejiang Province of China (Grant No. T200905).

Corresponding Authors: Hao Xiao-Hong
E-mail: zy2836@163.com

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Zhang Yi (张翼), Cheng Zhi-Long (程智龙), Hao Xiao-Hong (郝晓红) Riemann theta function periodic wave solutions for the variable-coefficient mKdV equation 2012 Chin. Phys. B 21 120203

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Riemann theta function periodic wave solutions for the variable-coefficient mKdV equation

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