Long-Time Asymptotics of a Three-Component Coupled mKdV System

By Wenxiu Ma. Mathematics, 2019

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We present an application of the nonlinear steepest descent method to a three-component coupled mKdV system associated with a 4 × 4 matrix spectral problem. An integrable coupled mKdV hierarchy with three potentials is first generated. Based on the corresponding oscillatory Riemann-Hilbert problem, the leading asympototics of the three-component mKdV system is then evaluated by using the nonlinear steepest descent method.

Subfields: Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4339e040da0737d8cbf0b7e890f0b3ef19360bec