Stability of multi-solitons in the cubic NLS equation

Abstract

We address stability of multi-solitons in the cubic NLS (nonlinear Schrödinger) 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 $L^2(\mathbb{R})$ space when the initial data is in a weighted $L^2(\mathbb{R})$ space.

References in corpus (1)

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

Cited by in corpus (1)

• $L^2$ orbital stability of Dirac solitons in the massive Thirring model