Journal article
Stability of multi-solitons in the cubic NLS equation
Abstract
We address the stability of multi-solitons for the cubic nonlinear Schrödinger (NLS) equation on the line. By using the dressing transformation and the inverse scattering transform methods, we establish the orbital stability of multi-solitons in the L 2 (ℝ) space when the initial data is in a weighted L 2 (ℝ) space.
Authors
Contreras A; Pelinovsky D
Journal
Journal of Hyperbolic Differential Equations, Vol. 11, No. 02, pp. 329–353
Publisher
World Scientific Publishing
Publication Date
June 2014
DOI
10.1142/s0219891614500106
ISSN
0219-8916