The asymptotic stability of solitons in the cubic...

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

January 1, 2014

DOI

10.1080/00036811.2013.866227

ISSN

0003-6811

Associated Experts

Dmitry Pelinovsky

Professor, Faculty of Science

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Labels

Fields of Research (FoR)

4901 Applied mathematics 49 Mathematical Sciences 4903 Numerical and computational mathematics 4904 Pure mathematics

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