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Stability of multi-solitons in the cubic NLS...

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

January 1, 2014

DOI

10.1142/s0219891614500106

ISSN

0219-8916

Associated Experts

Dmitry Pelinovsky

Professor, Faculty of Science

Labels

Fields of Research (FoR)

4901 Applied Mathematics 49 Mathematical Sciences 4904 Pure mathematics

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