TITLE:
Explicit Solutions of the Coupled mKdV Equation by the Dressing Method via Local Riemann-Hilbert Problem
AUTHORS:
Ting Su, Guohua Ding, Zhiwei Wang
KEYWORDS:
Coupled mKdV Equations, Riemann-Hilbert Problem, the Dressing Method
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.15,
September
21,
2016
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.