(1/G')-Expansion Method for Exact Solutions of (3+1)-Dimensional Jimbo-Miwa Equation

Asıf YOKUŞ; Hülya DURUR

doi:https://doi.org/10.21597/jist.686718

Article Details

(1/G')-Expansion Method for Exact Solutions of (3+1)-Dimensional Jimbo-Miwa Equation

Authors:

Asıf YOKUŞ | Hülya DURUR

Publisher:

Igdir University

Main Topics:

Mathematics

Journal:

Journal of the Institute of Science and Technology 2020 Vol.10 Issue 4, pp.2907-2914

Document Type:

Article

Publication Date:

12/2020

Document Language:

English

Document ID (Org No.):

2000463598

Frequency:

Quarterly

eISSN:

2536-4618

DOI:

https://doi.org/10.21597/jist.686718

Abstract:

 

The purpose of this article is obtaining the exact solutions for (3+1)-dimensional Jimbo-Miwa Equation (3+1DJME). The (1/G')-expansion method which is an effective method in solving nonlinear evolution equations (NLEEs) is used. Then, 3D, contour and 2D graphics are presented by giving special values to the constants in the solutions obtained. These graphics are a special solution of the (3+1DJME) and represent a stationary wave of the equation. Ready computer package program is used to obtain the solutions and graphics presented in this study.

 

Bu makalenin amacı (3+1) boyutlu Jimbo-Miwa denklemi için tam çözümler elde etmektir. Lineer olmayan evrim denklemlerinin çözümünde etkili bir yöntem olan (1/G')-açılım yöntemi kullanılmıştır. Daha sonra elde edilen çözümlerdeki sabitlere özel degerler verilerek 3 boyutlu, kontur ve 2 boyutlu grafikler sunulmuştur. Bu grafikler (3 + 1) boyutlu Jimbo-Miwa denkleminin özel bir çözümü olup ve denklemin duragan bir dalgasını temsil etmektedir. Bu çalışmada sunulan çözümler ve grafiklerin elde edilişinde hazır bilgisayar paket programı kullanılmaktadır.

Article Details

(1/G')-Expansion Method for Exact Solutions of (3+1)-Dimensional Jimbo-Miwa Equation

Authors: Asıf YOKUŞ | Hülya DURUR

Publisher: Igdir University

Main Topics: Mathematics

Journal: Journal of the Institute of Science and Technology 2020 Vol.10 Issue 4, pp.2907-2914

Document Type: Article

Publication Date: 12/2020

Document Language: English

Document ID (Org No.): 2000463598

Frequency: Quarterly

eISSN: 2536-4618

DOI: https://doi.org/10.21597/jist.686718

Issues

Authors:

Asıf YOKUŞ | Hülya DURUR

Publisher:

Igdir University

Main Topics:

Mathematics

Journal:

Journal of the Institute of Science and Technology 2020 Vol.10 Issue 4, pp.2907-2914

Document Type:

Article

Publication Date:

12/2020

Document Language:

English

Document ID (Org No.):

2000463598

Frequency:

Quarterly

eISSN:

2536-4618

DOI:

https://doi.org/10.21597/jist.686718