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

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

Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120203-120203.doi: 10.1088/1674-1056/21/12/120203

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

张翼^a, 程智龙^a, 郝晓红^b

a Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;
b Department of Mathematics, Anhui University, Hefei 230601, China

收稿日期:2012-05-15 修回日期:2012-05-31 出版日期:2012-11-01 发布日期:2012-11-01
基金资助:
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).

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

Zhang Yi (张翼)^a, Cheng Zhi-Long (程智龙)^a, Hao Xiao-Hong (郝晓红)^b

a Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;
b Department of Mathematics, Anhui University, Hefei 230601, China

Received:2012-05-15 Revised:2012-05-31 Online:2012-11-01 Published:2012-11-01
Contact: Hao Xiao-Hong E-mail:zy2836@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: variable-coefficient mKdV equation, Riemann theta function, soliton solutions, periodic wave solutions

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.

Key words: variable-coefficient mKdV equation, Riemann theta function, soliton solutions, periodic wave solutions

中图分类号: (Partial differential equations)

02.30.Jr

05.45.Yv (Solitons)

张翼, 程智龙, 郝晓红. Riemann theta function periodic wave solutions for the variable-coefficient mKdV equation[J]. Chin. Phys. B, 2012, 21(12): 120203-120203.

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[J]. Chin. Phys. B, 2012, 21(12): 120203-120203.

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

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

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