Asymptotic Stability of Multi-Solitons for Coupled Nonlinear Schrödinger Equations via the $\bar{\partial }$-Method

Yubin Huang, Liming Ling, Huajie Su

The Riemann-Hilbert problem for the focusing coupled nonlinear Schrödinger (CNLS) equation is formulated on the basis of the corresponding $3\times 3$ matrix spectral problem. We re…