S. Cuccagna and D.E. Pelinovsky

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

Applicable Analysis 93, 791-822 (2014)

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.

Nonlinear Schrodinger equation, inverse scattering, asymptotic stability, Backlund transformation, steepest descent method.