SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger's Equations

Handan Yaslan

doi:10.36753/mathenot.734019

EN

SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger's Equations

Abstract

In the present paper, new analytical solutions for the conformable space-time fractional (2+1)-dimensional breaking soliton, third-order KdV and Burger's equations are obtained by using the simplified

tan (\frac{ϕ (ξ)}{2})

-expansion method (SITEM). Here, fractional derivatives are described in conformable sense. The obtained traveling wave solutions are expressed by the trigonometric, hyperbolic, exponential and rational functions. Simulation of the obtained solutions are given at the end of the paper.

Keywords

Space-time fractional (2+1)-dimensional breaking soliton equations, Space-time fractional third-order KdV equation, Space-time fractional Burger's equation, Simplified $\tan(\frac{\phi (\xi) }{2})$-expansion method (SITEM)

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Handan Yaslan ^*
0000-0002-3243-3703
Türkiye

Publication Date

September 30, 2021

Submission Date

May 8, 2020

Acceptance Date

October 26, 2020

Published in Issue

Year 2021 Volume: 9 Number: 3

DOI

https://doi.org/10.36753/mathenot.734019

IZ

https://izlik.org/JA94HP28TR

APA

Yaslan, H. (2021). SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger’s Equations. Mathematical Sciences and Applications E-Notes, 9(3), 108-123. https://doi.org/10.36753/mathenot.734019

AMA

1.Yaslan H. SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger’s Equations. Math. Sci. Appl. E-Notes. 2021;9(3):108-123. doi:10.36753/mathenot.734019

Chicago

Yaslan, Handan. 2021. “SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger’s Equations”. Mathematical Sciences and Applications E-Notes 9 (3): 108-23. https://doi.org/10.36753/mathenot.734019.

EndNote

Yaslan H (September 1, 2021) SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger’s Equations. Mathematical Sciences and Applications E-Notes 9 3 108–123.

IEEE

[1]H. Yaslan, “SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger’s Equations”, Math. Sci. Appl. E-Notes, vol. 9, no. 3, pp. 108–123, Sept. 2021, doi: 10.36753/mathenot.734019.

ISNAD

Yaslan, Handan. “SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger’s Equations”. Mathematical Sciences and Applications E-Notes 9/3 (September 1, 2021): 108-123. https://doi.org/10.36753/mathenot.734019.

JAMA

1.Yaslan H. SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger’s Equations. Math. Sci. Appl. E-Notes. 2021;9:108–123.

MLA

Yaslan, Handan. “SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger’s Equations”. Mathematical Sciences and Applications E-Notes, vol. 9, no. 3, Sept. 2021, pp. 108-23, doi:10.36753/mathenot.734019.

Vancouver

1.Handan Yaslan. SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger’s Equations. Math. Sci. Appl. E-Notes. 2021 Sep. 1;9(3):108-23. doi:10.36753/mathenot.734019

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