Author(s)

Ting Su^*, Guohua Ding, Zhiwei Wang

Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, China.

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.

Coupled mKdV Equations, Riemann-Hilbert Problem, the Dressing Method

Su, T. , Ding, G. and Wang, Z. (2016) Explicit Solutions of the Coupled mKdV Equation by the Dressing Method via Local Riemann-Hilbert Problem. Applied Mathematics, 7, 1789-1797. doi: 10.4236/am.2016.715150.