Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem-Reference-Cited by-同舟云学术

Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem

Published:2022-12-05 Issue:4 Volume:21 Page:2518-2534
ISSN:1536-0040
Container-title:SIAM Journal on Applied Dynamical Systems
language:en
Short-container-title:SIAM J. Appl. Dyn. Syst.

Author:

Le Uyen¹,Pelinovsky Dmitry E.²^ORCID

Affiliation:

1. Department of Mathematics and Statistics, McMaster University, Hamilton L8S 4K1, ON, Canada, Canada.

2. Department of Mathematics and Statistics, McMaster University, Hamilton L8S 4K, ON, Canada, Canada and Department of Applied Mathematics, Nizhny Novgorod State Technical University, 24 Minin street, Nizhny Novgorod, Russia.

Funder

Council on grants of the President of the Russian Federation

McMaster University

Ministry of Education and Science of the Russian Federation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Modeling and Simulation,Analysis

Reference23 articles.

1. On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation

2. Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications

3. Nonlinear stability of periodic traveling wave solutions to the Schrödinger and the modified Korteweg–de Vries equations

4. An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type

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