New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations

Zafer Öztürk; Sezer Sorgun; Halis Bilgil; Ümmügülsüm Erdinç

doi:10.53570/jnt.1018383

EN

New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations

Abstract

The new exact solutions of the conformable time-fractional Bad and Good modified Boussinesq equations are obtained using the Exp-function method, which is different from previous literature works. These equations play a significant role in mathematical physics, engineering sciences and applied mathematics. Plentiful exact solutions with arbitrary parameters are effectively obtained by the method. The obtained solutions are shown graphically. It is shown that the Exp-function method provides a simpler but more effective mathematical tool for constructing exact solutions of non-linear evolution equations.

Keywords

Conformable time fractional Bad and Good modified Boussinesq equations, conformable fractional derivative, exact solution, Exp-function method

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Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Zafer Öztürk ^*
0000-0001-5662-4670
Türkiye

Sezer Sorgun
0000-0001-8708-1226
Türkiye

Halis Bilgil
0000-0002-8329-5806
Türkiye

Ümmügülsüm Erdinç
0000-0002-4504-3675
Türkiye

Publication Date

December 31, 2021

Submission Date

November 3, 2021

Acceptance Date

December 22, 2021

Published in Issue

Year 2021 Number: 37

DOI

https://doi.org/10.53570/jnt.1018383

IZ

https://izlik.org/JA42PC23PE

APA

Öztürk, Z., Sorgun, S., Bilgil, H., & Erdinç, Ü. (2021). New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations. Journal of New Theory, 37, 8-25. https://doi.org/10.53570/jnt.1018383

AMA

1.Öztürk Z, Sorgun S, Bilgil H, Erdinç Ü. New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations. JNT. 2021;(37):8-25. doi:10.53570/jnt.1018383

Chicago

Öztürk, Zafer, Sezer Sorgun, Halis Bilgil, and Ümmügülsüm Erdinç. 2021. “New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations”. Journal of New Theory, nos. 37: 8-25. https://doi.org/10.53570/jnt.1018383.

EndNote

Öztürk Z, Sorgun S, Bilgil H, Erdinç Ü (December 1, 2021) New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations. Journal of New Theory 37 8–25.

IEEE

[1]Z. Öztürk, S. Sorgun, H. Bilgil, and Ü. Erdinç, “New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations”, JNT, no. 37, pp. 8–25, Dec. 2021, doi: 10.53570/jnt.1018383.

ISNAD

Öztürk, Zafer - Sorgun, Sezer - Bilgil, Halis - Erdinç, Ümmügülsüm. “New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations”. Journal of New Theory. 37 (December 1, 2021): 8-25. https://doi.org/10.53570/jnt.1018383.

JAMA

1.Öztürk Z, Sorgun S, Bilgil H, Erdinç Ü. New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations. JNT. 2021;:8–25.

MLA

Öztürk, Zafer, et al. “New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations”. Journal of New Theory, no. 37, Dec. 2021, pp. 8-25, doi:10.53570/jnt.1018383.

Vancouver

1.Zafer Öztürk, Sezer Sorgun, Halis Bilgil, Ümmügülsüm Erdinç. New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations. JNT. 2021 Dec. 1;(37):8-25. doi:10.53570/jnt.1018383

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