Analysis of Exact Solutions of a Mathematical Model by New Function Method

Yusuf Gürefe; Yusuf Pandır; Tolga Aktürk

doi:10.17776/csj.1083033

EN

Analysis of Exact Solutions of a Mathematical Model by New Function Method

Abstract

In this article, the new function method is used to obtain the wave solutions of the nonlinear Klein-Gordon equation. Since the Klein-Gordon equation is a nonlinear partial differential equation containing exponential functions, it was decided to apply the new function method, which was defined on the assumption of a nonlinear auxiliary differential equation containing exponential functions. Thus, it aims to reach wave solutions not found in the literature. The considered method can be easily applied to this type of nonlinear problem that is difficult to solve and gives us solutions. Here, two new exact solutions are obtained. Then two and three-dimensional density and contour graphs are drawn by selecting the appropriate parameters to analyze the physical behavior of these solutions. The Mathematica package program was effectively used in all calculations and graphic drawings.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Yusuf Gürefe
0000-0002-7210-5683
Türkiye

Yusuf Pandır ^*
0000-0003-0274-7901
Türkiye

Tolga Aktürk
0000-0002-8873-0424
Türkiye

Publication Date

December 27, 2022

Submission Date

March 4, 2022

Acceptance Date

December 9, 2022

Published in Issue

Year 2022 Volume: 43 Number: 4

DOI

https://doi.org/10.17776/csj.1083033

IZ

https://izlik.org/JA86GE33MU

Cite

RIS / Bibtex

APA

Gürefe, Y., Pandır, Y., & Aktürk, T. (2022). Analysis of Exact Solutions of a Mathematical Model by New Function Method. Cumhuriyet Science Journal, 43(4), 703-707. https://doi.org/10.17776/csj.1083033

Cited By

New solutions of time-space fractional coupled Schrödinger systems

AIMS Mathematics

https://doi.org/10.3934/math.20231383

Öz

Analysis of Exact Solutions of a Mathematical Model by New Function Method

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

New solutions of time-space fractional coupled Schrödinger systems