Riemann theta function periodic wave solutions for the variable-coefficient mKdV equation |
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| Authors: | Zhang Yia Cheng Zhi-Longa and Hao Xiao-Hong |
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| Affiliation: | [1]Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China; [2]Department of Mathematics, Anhui University, Hefei 230601, China |
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| Abstract: | In this paper,a variable-coefficient modified Korteweg-de Vries(vc-mKdV) equation is considered.Bilinear forms are 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. |
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| Keywords: | variable-coefficient mKdV equation Riemann theta function soliton solutions periodic wave solutions |
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