The asymptotic stability of solitons in the cubic NLS equation on the line

Abstract

We use the inverse scattering transform, the auto-Backlund transformation and the steepest descent method of Deift and Zhou to obtain the asymptotic stability of the solitons in the cubic NLS (nonlinear Schrodinger) equation.

35 pages

References in corpus (1)

• Long-time Asymptotics for the NLS equation via dbar methods

Cited by in corpus (1)

• Stability of multi-solitons in the cubic NLS equation