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385203

Traveling wave solutions for the mKdV equation and the Gardner equations by new approach of the generalized (G′/G)-expansion method

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Last updated: 31 Dec 2024

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Abstract

In this paper, we demonstrate the effectiveness of the new generalized (G0/G)-expansion
method by seeking more exact solutions via the mKdV equation and the Gardner equations. The
method is direct, concise and simple to implement compared to other existing methods. The traveling wave solutions obtained by this method are expressed in terms of hyperbolic, trigonometric and rational functions. The method shows a wide application for handling nonlinear wave equations. Moreover, the method reduces the large amount of calculations

Keywords

New generalized (G0/G)- expansion method, mKdV equation, Gardner equation, traveling wave solutions, Solitary wave solutions

Authors

First Name

Md.

Last Name

Nur Alam

MiddleName

-

Affiliation

Department of Mathematics, Pabna University of Science and Technology, Bangladesh

Email

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City

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Orcid

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First Name

M.

Last Name

Akbar

MiddleName

Ali

Affiliation

Department of Applied Mathematics, University of Rajshahi, Bangladesh

Email

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City

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Orcid

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Volume

22

Article Issue

3

Related Issue

50857

Issue Date

2014-10-01

Receive Date

2013-06-21

Publish Date

2014-10-01

Page Start

402

Page End

406

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 3_Pages 402-406.pdf

PDF . 913.9kB

Link

https://joems.journals.ekb.eg/article_385203.html

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https://joems.journals.ekb.eg/service?article_code=385203

Order

385,203

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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

Traveling wave solutions for the mKdV equation and the Gardner equations by new approach of the generalized (G′/G)-expansion method

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Article

Created At

21 Dec 2024