(3 + 1) Boyutlu Jimbo-Miwa Denkleminin Tam Çözümleri için (1/G')-Açılım Yöntemi

Year 2020, Volume: 10 Issue: 4, 2907 - 2914, 15.12.2020

Asıf Yokuş Hülya Durur

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

Cited By: 1

Abstract

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.

Keywords

(1/G')-açılım yöntemi, (3+1)-boyutlu Jimbo-Miwa denklemi, tam çözüm, yürüyen dalga çözümü

Supporting Institution

Yok

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

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.

Keywords

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

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