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Explicit Solutions of the Coupled mKdV Equation by the Dressing Method via Local Riemann-Hilbert Problem
Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, China
Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, China
Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, China
- 1 Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, China
- 2 Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, China
- 3 Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, China
Applied Mathematics·Volume 07 (2016)·Pages 1789–1797·Published 12 September 2016·DOI10.4236/am.2016.715150
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Abstract
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.
KeywordsCoupled mKdV EquationsRiemann-Hilbert Problemthe Dressing Method
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