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.
Highlights
Geng has given its quasi-periodic solution by using algebra-geometric methods
The equation can be solved by the method of the inverse scattering transformation, Hirota direct method, Lax pairs nonlinearization approach and others [3]-[6]
There are a lot of references for the topic [7][14]
Summary
Is an important member of the AKNS hierarchy [1]. It has various applications in mathematical and physical fields. Geng has given its quasi-periodic solution by using algebra-geometric methods. We study the Equation (1) with the help of the Riemann-Hilbert method following [15] [16]. The present paper is organized as follows. T. Su et al 1790 the curve of the solutions with the aid of the Matlab
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