(G'/G,1/G)-expansion method for analytical solutions of Jimbo-Miwa equation

Asıf Yokuş; Hülya Durur

doi:10.17776/csj.689759

EN

(G'/G,1/G)-expansion method for analytical solutions of Jimbo-Miwa equation

Abstract

The main goal of this study is obtaining analytical solutions for (3+1)-dimensional Jimbo-Miwa Equation which the second equation in the well-known KP hierarchy of integrable systems. For the (3+1DJM) equation, hyperbolic, trigonometric, complex trigonometric and rational traveling wave solutions have been constructed by applying the (G'/G,1/G)-expansion method. Then, real and imaginary graphics are presented by giving special values to the constants in the solutions obtained. These graphics are a special solution of the (3+1DJM) equation and represent a stationary wave of the equation. The (G'/G,1/G)-expansion method is an effective and powerful method for solving nonlinear evolution equations (NLEEs). Ready computer package program is used to obtain the solutions and graphics presented in this study.

Keywords

(3+1)-dimensional Jimbo-Miwa equation, exact solution, (G'/G-1/G)-expansion method, traveling wave solution

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Asıf Yokuş
0000-0002-1460-8573
Türkiye

Hülya Durur ^*
0000-0002-9297-6873
Türkiye

Publication Date

March 29, 2021

Submission Date

February 15, 2020

Acceptance Date

December 23, 2020

Published in Issue

Year 2021 Volume: 42 Number: 1

DOI

https://doi.org/10.17776/csj.689759

IZ

https://izlik.org/JA56JX62RB

APA

Yokuş, A., & Durur, H. (2021). (G’/G,1/G)-expansion method for analytical solutions of Jimbo-Miwa equation. Cumhuriyet Science Journal, 42(1), 88-98. https://doi.org/10.17776/csj.689759

AMA

1.Yokuş A, Durur H. (G’/G,1/G)-expansion method for analytical solutions of Jimbo-Miwa equation. CSJ. 2021;42(1):88-98. doi:10.17776/csj.689759

Chicago

Yokuş, Asıf, and Hülya Durur. 2021. “(G’/G,1/G)-Expansion/Method/for/Analytical/Solutions/of/Jimbo-Miwa/Equation”. Cumhuriyet Science Journal 42 (1): 88-98. https://doi.org/10.17776/csj.689759.

EndNote

Yokuş A, Durur H (March 1, 2021) (G’/G,1/G)-expansion method for analytical solutions of Jimbo-Miwa equation. Cumhuriyet Science Journal 42 1 88–98.

IEEE

[1]A. Yokuş and H. Durur, “(G’/G,1/G)-expansion method for analytical solutions of Jimbo-Miwa equation”, CSJ, vol. 42, no. 1, pp. 88–98, Mar. 2021, doi: 10.17776/csj.689759.

ISNAD

Yokuş, Asıf - Durur, Hülya. “(G’/G,1/G)-Expansion/Method/for/Analytical/Solutions/of/Jimbo-Miwa/Equation”. Cumhuriyet Science Journal 42/1 (March 1, 2021): 88-98. https://doi.org/10.17776/csj.689759.

JAMA

1.Yokuş A, Durur H. (G’/G,1/G)-expansion method for analytical solutions of Jimbo-Miwa equation. CSJ. 2021;42:88–98.

MLA

Yokuş, Asıf, and Hülya Durur. “(G’/G,1/G)-Expansion/Method/for/Analytical/Solutions/of/Jimbo-Miwa/Equation”. Cumhuriyet Science Journal, vol. 42, no. 1, Mar. 2021, pp. 88-98, doi:10.17776/csj.689759.

Vancouver

1.Asıf Yokuş, Hülya Durur. (G’/G,1/G)-expansion method for analytical solutions of Jimbo-Miwa equation. CSJ. 2021 Mar. 1;42(1):88-9. doi:10.17776/csj.689759