Explicit Solutions of the Coupled mKdV Equation by the Dressing Method via Local Riemann-Hilbert Problem

Explicit Solutions of the Coupled mKdV Equation by the Dressing Method via Local Riemann-Hilbert Problem

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摘要 We study the coupled mKdV equation by the dressing method via local Riemann-Hilbert problem. With the help of the Lax pairs, we obtain the matrix Riemann-Hilbert problem with zeros. The explicit solutions for the coupled mKdV equation are derived with the aid of the regularization of the Riemann-Hilbert problem. We study the coupled mKdV equation by the dressing method via local Riemann-Hilbert problem. With the help of the Lax pairs, we obtain the matrix Riemann-Hilbert problem with zeros. The explicit solutions for the coupled mKdV equation are derived with the aid of the regularization of the Riemann-Hilbert problem.

作者 Ting Su Guohua Ding Zhiwei Wang Ting Su;Guohua Ding;Zhiwei Wang(Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, China)

机构地区 Department of Mathematical and Physical Science

出处《Applied Mathematics》 2016年第15期1789-1797,共10页 应用数学（英文）

关键词 Coupled mKdV Equations Riemann-Hilbert Problem the Dressing Method Coupled mKdV Equations Riemann-Hilbert Problem the Dressing Method

分类号 O17 [理学—基础数学]

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Applied Mathematics

2016年第15期

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Explicit Solutions of the Coupled mKdV Equation by the Dressing Method via Local Riemann-Hilbert Problem

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