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The asymptotic stability of solitons in the cubic...
Journal article

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

Abstract

We use the inverse scattering transform, the auto-Bäcklund transformation, and the steepest descent method of Deift and Zhou to obtain the asymptotic stability of the solitons in the cubic NLS (nonlinear Schrödinger) equation.

Authors

Cuccagna S; Pelinovsky DE

Journal

Applicable Analysis, Vol. 93, No. 4, pp. 791–822

Publisher

Taylor & Francis

Publication Date

4 2014

DOI

10.1080/00036811.2013.866227

ISSN

0003-6811