Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach

Meryem Odabaşı

doi:10.36753/mathenot.626461

EN

Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach

Abstract

This study investigates exact analytical solutions of some nonlinear partial differential equations arising in mathematical physics. To this reason, the Kudryashov-Sinelshchikov equation, the ZK-BBM equation and the Gardner equation have been considered. With the implementation of the trial solution algorithm, solitary wave, bright, dark and periodic exact traveling wave solutions of the considered equations have been attained. The solutions have been checked and graphs have been given via package programs to see the behavior of the waves.

Keywords

Nonlinear evolution equations, Travelling wave solutions, Analytical methods

Supporting Institution

Ege University, Scientific Research Projects Coordination

Project Number

2017-TKMYO-002

Thanks

This research is supported by Ege University, Scientific Research Project (BAP), Project Number: 2017-TKMYO-002.

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Meryem Odabaşı ^*
0000-0002-3025-3063
Türkiye

Publication Date

June 1, 2021

Submission Date

September 29, 2019

Acceptance Date

November 2, 2020

Published in Issue

Year 2021 Volume: 9 Number: 2

DOI

https://doi.org/10.36753/mathenot.626461

IZ

https://izlik.org/JA35DZ62WG

APA

Odabaşı, M. (2021). Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach. Mathematical Sciences and Applications E-Notes, 9(2), 64-73. https://doi.org/10.36753/mathenot.626461

AMA

1.Odabaşı M. Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach. Math. Sci. Appl. E-Notes. 2021;9(2):64-73. doi:10.36753/mathenot.626461

Chicago

Odabaşı, Meryem. 2021. “Investigation of Exact Solutions of Some Nonlinear Evolution Equations via an Analytical Approach”. Mathematical Sciences and Applications E-Notes 9 (2): 64-73. https://doi.org/10.36753/mathenot.626461.

EndNote

Odabaşı M (June 1, 2021) Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach. Mathematical Sciences and Applications E-Notes 9 2 64–73.

IEEE

[1]M. Odabaşı, “Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach”, Math. Sci. Appl. E-Notes, vol. 9, no. 2, pp. 64–73, June 2021, doi: 10.36753/mathenot.626461.

ISNAD

Odabaşı, Meryem. “Investigation of Exact Solutions of Some Nonlinear Evolution Equations via an Analytical Approach”. Mathematical Sciences and Applications E-Notes 9/2 (June 1, 2021): 64-73. https://doi.org/10.36753/mathenot.626461.

JAMA

1.Odabaşı M. Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach. Math. Sci. Appl. E-Notes. 2021;9:64–73.

MLA

Odabaşı, Meryem. “Investigation of Exact Solutions of Some Nonlinear Evolution Equations via an Analytical Approach”. Mathematical Sciences and Applications E-Notes, vol. 9, no. 2, June 2021, pp. 64-73, doi:10.36753/mathenot.626461.

Vancouver

1.Meryem Odabaşı. Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach. Math. Sci. Appl. E-Notes. 2021 Jun. 1;9(2):64-73. doi:10.36753/mathenot.626461

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On the Semi-Analytical Solutions for the Kudryashov-Sinelshchikov Dynamical Equation Arising in Mixtures of Liquid and Gas Bubbles Without Neglecting of Heat Transfer and Viscosity

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