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.