A Riemann-Hilbert approach to the two-component modified Camassa-Holm
equation on the line
A Riemann-Hilbert approach to the two-component modified Camassa-Holm
equation on the line
In this paper, we develop a Riemann-Hilbert approach to the Cauchy problem for the two-component modified Camassa-Holm (2-mCH) equation based on its Lax pair. Further via a series of deformations to the Riemann-Hilbert problem associated with the Cauchy problem by using the $\bar{\partial}$-generalization of Deift-Zhou steepest descent method, we obtain …