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387465

Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations

Article

Last updated: 31 Dec 2024

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Abstract

In this paper, the extended (G  /G)-expansion method has been suggested for constructing
travelling wave solutions of the Schamel–Korteweg–de Vries (s-KdV) and the Schamel equations
with aid of computer systems like Maple or Mathematica. The hyperbolic function solutions and the
trigonometric function solutions with free parameters of these equations have been obtained. More-
over, it has been shown that the suggested method is elementary, effective and has been used to solve
nonlinear evolution equations in applied mathematics, engineering and mathematical physics.

DOI

10.1016/j.joems.2016.01.007

Keywords

Schamel–Korteweg–de Vries equation, Schamel equation, Travelling wave solutions

Authors

First Name

Figen

Last Name

Kangalgil

MiddleName

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Affiliation

Cumhuriyet University, Faculty of Science, Department of Mathematics, Sivas 58140, Turkey

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Orcid

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Volume

24

Article Issue

4

Related Issue

51066

Issue Date

2016-12-01

Receive Date

2024-10-22

Publish Date

2016-12-01

Page Start

526

Page End

531

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_387465.html

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https://joems.journals.ekb.eg/service?article_code=387465

Order

387,465

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations

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Type

Article

Created At

21 Dec 2024