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387162

Simple equation method for nonlinear partial differential equations and its applications

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Last updated: 31 Dec 2024

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Abstract

In this article, we focus on the exact solution of the some nonlinear partial differential
equations (NLPDEs) such as, Kodomtsev–Petviashvili (KP) equation, the (2 + 1)-dimensional break-
ing soliton equation and the modified generalized Vakhnenko equation by using the simple equation
method. In the simple equation method the trial condition is the Bernoulli equation or the Riccati
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.2015.05.006

Keywords

Simple equation method, Exact solutions, Kodomtsev–Petviashvili equation, Bernoulli equation, riccati equation

Authors

First Name

Temitope O.

Last Name

Benson

MiddleName

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Affiliation

Institute for omputational and Data Sciences, University at Bufalo, State University of New York, Albany, USA.

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City

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Orcid

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First Name

Taher

Last Name

Nofal

MiddleName

A.

Affiliation

Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, Saudi Arabia, Mathematics Department, Faculty of Science, Minia University, Minia, Egypt

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Volume

24

Article Issue

2

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

204

Page End

209

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 2_Pages 204-209.pdf

PDF . 367.6kB

Link

https://joems.journals.ekb.eg/article_387162.html

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https://joems.journals.ekb.eg/service?article_code=387162

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387,162

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Simple equation method for nonlinear partial differential equations and its applications

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Type

Article

Created At

21 Dec 2024