Stability of multi-solitons in the cubic NLS equation-Reference-Cited by-同舟云学术

Stability of multi-solitons in the cubic NLS equation

Published:2014-06 Issue:02 Volume:11 Page:329-353
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

Contreras Andres¹,Pelinovsky Dmitry¹

Affiliation:

1. Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L8S 4K1, Canada

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 L2(ℝ) space when the initial data is in a weighted L2(ℝ) space.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891614500106

Reference29 articles.

1. Solitons and the Inverse Scattering Transform

2. The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation

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