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381107

Exact solutions of nonlinear wave equations using (G0 /G, 1/G)-expansion method

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Last updated: 31 Dec 2024

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Abstract

In this paper, the ðG0
=G; 1=GÞ-expansion method with the aid of Maple is used to obtain
new exact travelling wave solutions of the Hamiltonian amplitude equation and the Broer–Kaup
equations arise in the analysis of various problems in fluid mechanics, theoretical physics. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the
rational functions. The method demonstrates power, reliability and efficiency. The method also presents a wider applicability for handling nonlinear wave equations. 

DOI

10.1016/j.joems.2014.02.011

Keywords

Exact solutions, ðG0 =G, 1=GÞ-expansion method, The Hamiltonian amplitude equation, The Broer–Kaup equations

Authors

First Name

Sec¸il

Last Name

Demiray

MiddleName

-

Affiliation

Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics-Computer, Eskisehir, Turkey

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Orcid

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First Name

, O¨mer

Last Name

U¨nsal

MiddleName

-

Affiliation

Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics-Computer, Eskisehir, Turkey

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City

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Orcid

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First Name

Ahmet

Last Name

Bekir

MiddleName

-

Affiliation

Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics-Computer, Eskisehir, Turkey

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-22

Publish Date

2015-04-01

Page Start

78

Page End

84

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 78-84.pdf

PDF . 508.3kB

Link

https://joems.journals.ekb.eg/article_381107.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381107

Order

381,107

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Exact solutions of nonlinear wave equations using (G0 /G, 1/G)-expansion method

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Type

Article

Created At

21 Dec 2024