A. Contreras and D.E. Pelinovsky

Stability of multi-solitons in the cubic NLS equation

Journal of Hyperbolic Differential Equations 11 (2014), 329-353

Abstract:
We address stability of multi-solitons in the cubic NLS (nonlinear Schrodinger) equation on the line. By using the dressing transformation and the inverse scattering transform methods, we obtain the orbital stability of multi-solitons in the L2(R) space when the initial data is in a weighted L2(R) space.

Keywords:
Nonlinear Schrodinger equation, inverse scattering, asymptotic stability, Backlund transformation, multi-solitons.