Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation

Sevil Çulha Ünal; Ayşegül Daşcıoğlu; Dilek Varol Bayram

doi:10.36753/mathenot.688493

EN

Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation

Abstract

In this paper, by using a direct method based on the Jacobi elliptic functions, the exact solutions of the space-time fractional symmetric regularized long wave (SRLW) equation have been obtained. The elliptic function solutions of a nonlinear ordinary differential (auxiliary) equation $\left({dF}/{d \xi}\right) ^{2} = PF^{4} (\xi)+QF^{2} (\xi) + R$ have also been examined. Besides, the solutions have been found in general form including rational, trigonometric and hyperbolic functions. Moreover, the complex valued solutions, periodic solutions, and soliton solutions, have also been gained. Some solutions have been illustrated by the graphics.

Keywords

SRLW equation, Jacobi elliptic function, Nonlinear differential equation, Fractional partial differential equation

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sevil Çulha Ünal
0000-0001-7447-9219
Türkiye

Ayşegül Daşcıoğlu
0000-0001-8931-6930
Türkiye

Dilek Varol Bayram ^*
0000-0002-5158-5614
Türkiye

Publication Date

June 1, 2021

Submission Date

February 12, 2020

Acceptance Date

October 30, 2020

Published in Issue

Year 2021 Volume: 9 Number: 2

DOI

https://doi.org/10.36753/mathenot.688493

IZ

https://izlik.org/JA98AK72YD

APA

Çulha Ünal, S., Daşcıoğlu, A., & Varol Bayram, D. (2021). Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation. Mathematical Sciences and Applications E-Notes, 9(2), 53-63. https://doi.org/10.36753/mathenot.688493

AMA

1.Çulha Ünal S, Daşcıoğlu A, Varol Bayram D. Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation. Math. Sci. Appl. E-Notes. 2021;9(2):53-63. doi:10.36753/mathenot.688493

Chicago

Çulha Ünal, Sevil, Ayşegül Daşcıoğlu, and Dilek Varol Bayram. 2021. “Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation”. Mathematical Sciences and Applications E-Notes 9 (2): 53-63. https://doi.org/10.36753/mathenot.688493.

EndNote

Çulha Ünal S, Daşcıoğlu A, Varol Bayram D (June 1, 2021) Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation. Mathematical Sciences and Applications E-Notes 9 2 53–63.

IEEE

[1]S. Çulha Ünal, A. Daşcıoğlu, and D. Varol Bayram, “Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation”, Math. Sci. Appl. E-Notes, vol. 9, no. 2, pp. 53–63, June 2021, doi: 10.36753/mathenot.688493.

ISNAD

Çulha Ünal, Sevil - Daşcıoğlu, Ayşegül - Varol Bayram, Dilek. “Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation”. Mathematical Sciences and Applications E-Notes 9/2 (June 1, 2021): 53-63. https://doi.org/10.36753/mathenot.688493.

JAMA

1.Çulha Ünal S, Daşcıoğlu A, Varol Bayram D. Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation. Math. Sci. Appl. E-Notes. 2021;9:53–63.

MLA

Çulha Ünal, Sevil, et al. “Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation”. Mathematical Sciences and Applications E-Notes, vol. 9, no. 2, June 2021, pp. 53-63, doi:10.36753/mathenot.688493.

Vancouver

1.Sevil Çulha Ünal, Ayşegül Daşcıoğlu, Dilek Varol Bayram. Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation. Math. Sci. Appl. E-Notes. 2021 Jun. 1;9(2):53-6. doi:10.36753/mathenot.688493