Füzyon ve Fizyon Fenomenleri İçin Doğrusal Olmayan Dalga Çözümlerinin İncelenmesi

Öz

Bu çalışmada, (3+1)boyutlu Jimbo-Miwa denkleminin dalga çözümleri ve buna bağlı olarak da çözümün füzyon ve fisyon olmak üzere iki farklı olgusu modifiye üstel fonksiyon yöntemi kullanılarak elde edilmiştir. Daha olası çözümler elde etmek için modifiye edilmiş üstel fonksiyon yönteminin doğası gereği iki farklı durum incelenmiştir. Ortaya çıkan çözümler incelendiğinde trigonometrik, hiperbolik ve rasyonel fonksiyonlar elde edilmiştir. Wolfram Mathematica yazılımı tarafından bulunan çözüm fonksiyonlarının (3+1) boyutlu potansiyel Jimbo-Miwa denklemini sağlayıp sağlamadığı kontrol edildi. Uygun parametreler belirlenerek çözüm fonksiyonunun iki ve üç boyutlu grafikleri, kontur ve hassasiyet grafikleri elde edildi.

Anahtar Kelimeler

• Geliştirilmiş Üstel Fonksiyon Metodu
• (3+1)-boyutlu Jimbo-Miwa denklemi
• Dalga çözümleri

Investigation of Nonlinear Wave Solutions for Fusion and Fission Phenomenas

Abstract

In this study, wave solutions of the (3+1) dimensional Jimbo-Miwa equation and two different phenomena of the solution, fusion and fission, are obtained using the modified exponential functionmethod. In order to get more possible solutions, two different cases are investigated due to the nature of the modified exponential function method. When the resulting solutions are analyzed, trigonometric, hyperbolic and rational functions are obtained. It was checked whether the solution functions found by the Wolfram Mathematica software provided the (3+1) dimensional potential Jimbo-Miwa equation. Two and three dimensional graphs, contour and density graphs of the solution function were get by determining the appropriate parameters.

Keywords

• Modified Exponential Function Method
• The (3+1)-dimensional Jimbo-Miwa equation
• Wave solutions

Kaynakça

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