Asymptotic stability of N-solitons in the cubic NLS equation
Asymptotic stability of N-solitons in the cubic NLS equation
We consider the Cauchy problem for the cubic focusing nonlinear Schrödinger (NLS) equation on the line with initial datum close to an [Formula: see text]-soliton. Using the inverse scattering method and the [Formula: see text]-method, we establish the decay of the [Formula: see text]-norm of the residual term in time.