Discrete doubly periodic and solitary wave solutions for the semi-discrete coupled mKdV equations |
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Authors: | Wu Xiao-Fei Zhu Jia-Min and Ma Zheng-Yi |
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Institution: | College of Information, Zhejiang Lishui University, Lishui 323000, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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Abstract: | In this paper, the improved Jacobian elliptic function expansion
approach is extended and applied to constructing discrete solutions
of the semi-discrete coupled modified Korteweg de Vries (mKdV)
equations with the aid of the symbolic computation system Maple.
Some new discrete Jacobian doubly periodic solutions are obtained.
When the modulus $m \rightarrow 1$, these doubly periodic solutions
degenerate into the corresponding solitary wave solutions, including
kink-type, bell-type and other types of excitations. |
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Keywords: | semi-discrete coupled mKdV
equations extended Jacobian elliptic function expansion approach discrete doubly periodic solutions discrete solitary wave solutions |
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