Long-time asymptotics of the coupled nonlinear Schödinger equation in a weighted Sobolev space

Yubin Huang, Liming Ling, Xiaoen Zhang

We study the Cauchy problem for the focusing coupled nonlinear Schrödinger (CNLS) equation with initial data ${\mathbf{q}}_0$ lying in the weighted Sobolev space and the scattering d…