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Riemann–Hilbert problems and N-soliton solutions for a coupled mKdV system
Journal article   Peer reviewed

Riemann–Hilbert problems and N-soliton solutions for a coupled mKdV system

Wen-Xiu Ma
Journal of geometry and physics, Vol.132, pp.45-54
10/2018
DOI: https://doi.org/10.1016/j.geomphys.2018.05.024

Abstract

[formula omitted]-soliton solution Integrable hierarchy Riemann–Hilbert problem
A 3 × 3 matrix spectral problem is introduced and its associated AKNS integrable hierarchy with four components is generated. From this spectral problem, a kind of Riemann–Hilbert problems is formulated for a system of coupled mKdV equations in the resulting AKNS integrable hierarchy. N-soliton solutions to the coupled mKdV system are presented through a specific Riemann–Hilbert problem with an identity jump matrix.

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