Traveling waves for a dissipative modified KdV equation - Egyptian Knowledge Bank

386515

Traveling waves for a dissipative modified KdV equation

Article

Last updated: 31 Dec 2024

Subjects

Abstract

In this paper we consider a dispersive–dissipative nonlinear equation which can be
regarded as a dissipation perturbed modified KdV equation, governing the evolution of long waves in an elastic rod immersed inside a viscoelastic medium. Using geometric singular perturbation theory, a construction of traveling waves for the equation is shown. This also is illustrated by presenting some numerical calculations.

DOI

org/10.1016/j.joems.2012.08.002

Keywords

Perturbed modified KdV equation, Singular perturbations, Traveling Waves

Authors

View Authors

First Name

Last Name

A. Mansour

MiddleName

Affiliation

Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

Email

m.mansour4@hotmail.com

City

Orcid

Volume

Article Issue

Related Issue

51034

Issue Date

2012-07-01

Receive Date

2024-10-16

Publish Date

2012-07-01

Page Start

134

Page End

138

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 20_Issue 2_Pages 134-138.pdf

PDF . 610.9kB

Link

https://joems.journals.ekb.eg/article_386515.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386515

Order

386,515

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle