Exact Traveling Wave Solutions of some Nonlinear Evolution Equations

Meryem Odabasi; Emine Misirli

doi:10.36753/mathenot.421403

EN

Exact Traveling Wave Solutions of some Nonlinear Evolution Equations

Abstract

In nonlinear sciences, it is important to obtain traveling wave solutions of nonlinear evolution equations to understand the phenomena they describe. In this study, we obtained the exact traveling wave solutions of the Liouville equation, two-dimensional Bratu equation, generalized heat conduction equation and coupled nonlinear Klein-Gordon equations by means of the trial equation method and the complete discrimination system. This method is reliable, effective and enables to get soliton, single-kink and compacton solutions of the generalized nonlinear evolution equations and systems of equations.

Keywords

generalized heat conduction equation,coupled nonlinear Klein-Gordon equations,trial equation method

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Meryem Odabasi

Emine Misirli

Publication Date

April 15, 2016

Submission Date

September 12, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

DOI

https://doi.org/10.36753/mathenot.421403

IZ

https://izlik.org/JA65CK57HE

APA

Odabasi, M., & Misirli, E. (2016). Exact Traveling Wave Solutions of some Nonlinear Evolution Equations. Mathematical Sciences and Applications E-Notes, 4(1), 55-62. https://doi.org/10.36753/mathenot.421403

AMA

1.Odabasi M, Misirli E. Exact Traveling Wave Solutions of some Nonlinear Evolution Equations. Math. Sci. Appl. E-Notes. 2016;4(1):55-62. doi:10.36753/mathenot.421403

Chicago

Odabasi, Meryem, and Emine Misirli. 2016. “Exact Traveling Wave Solutions of Some Nonlinear Evolution Equations”. Mathematical Sciences and Applications E-Notes 4 (1): 55-62. https://doi.org/10.36753/mathenot.421403.

EndNote

Odabasi M, Misirli E (April 1, 2016) Exact Traveling Wave Solutions of some Nonlinear Evolution Equations. Mathematical Sciences and Applications E-Notes 4 1 55–62.

IEEE

[1]M. Odabasi and E. Misirli, “Exact Traveling Wave Solutions of some Nonlinear Evolution Equations”, Math. Sci. Appl. E-Notes, vol. 4, no. 1, pp. 55–62, Apr. 2016, doi: 10.36753/mathenot.421403.

ISNAD

Odabasi, Meryem - Misirli, Emine. “Exact Traveling Wave Solutions of Some Nonlinear Evolution Equations”. Mathematical Sciences and Applications E-Notes 4/1 (April 1, 2016): 55-62. https://doi.org/10.36753/mathenot.421403.

JAMA

1.Odabasi M, Misirli E. Exact Traveling Wave Solutions of some Nonlinear Evolution Equations. Math. Sci. Appl. E-Notes. 2016;4:55–62.

MLA

Odabasi, Meryem, and Emine Misirli. “Exact Traveling Wave Solutions of Some Nonlinear Evolution Equations”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 1, Apr. 2016, pp. 55-62, doi:10.36753/mathenot.421403.

Vancouver

1.Meryem Odabasi, Emine Misirli. Exact Traveling Wave Solutions of some Nonlinear Evolution Equations. Math. Sci. Appl. E-Notes. 2016 Apr. 1;4(1):55-62. doi:10.36753/mathenot.421403

Cited By

A note on the traveling wave solutions of some nonlinear evolution equations

Optik

https://doi.org/10.1016/j.ijleo.2017.05.102

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