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381967

Exact traveling wave solutions of Kadomtsev–Petviashvili equation

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Last updated: 31 Dec 2024

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Abstract

In this paper, the exp(U(n))-expansion method with the aid of Maple has been used to
obtain the exact solutions of the Kadomtsev–Petviashvili (KP) equation. Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions and rational function
solutions, contain an explicit function of the variables in the considered equation. It has been shown
that the method provides a powerful mathematical tool for solving nonlinear wave equations in
mathematical physics and engineering problems.

DOI

10.1016/j.joems.2014.03.010

Keywords

Exp(U(n))-expansion method, KP equation, Exact solution, NLEEs

Authors

First Name

Kamruzzaman

Last Name

Khan

MiddleName

-

Affiliation

Department of Mathematics, Pabna University of Science and Technology, Pabna 6600, Bangladesh

Email

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City

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Orcid

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First Name

M. Ali

Last Name

Akbar

MiddleName

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Affiliation

Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh

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Orcid

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Volume

23

Article Issue

2

Related Issue

50528

Issue Date

2015-07-01

Receive Date

2024-09-26

Publish Date

2015-07-01

Page Start

278

Page End

281

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 2_Pages 278-281.pdf

PDF . 409.5kB

Link

https://joems.journals.ekb.eg/article_381967.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381967

Order

381,967

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 traveling wave solutions of Kadomtsev–Petviashvili equation

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Type

Article

Created At

21 Dec 2024