Multi-Soliton Solutions and Integrable Discretization for a Coupled Modified Volterra Lattice Equation |
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| Authors: | ZHAO Hai-Qiong ZHU Zuo-Nong |
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| Affiliation: | 1. Business Information Management School, Shanghai Institute of Foreign Trade, 1900 Wenxiang Road, Shanghai 201620, China;2. Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, China |
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| Abstract: | ![]()
In this paper, we study a coupled modified Volterra lattice equation which is an integrable semidiscrete version of the coupled KdV and the coupled mKdV equation. By using the Darboux transformation, we obtain its new explicit solutions including multi-soliton and multi-positon. Furthermore, an integrable discretization of the coupled modified Volterra lattice equation is constructed. |
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| Keywords: | coupled modified Volterra lattice multi-soliton integrable discretization |
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