Zaman Parametresine Bağlı Uyumlu Kesirli Mertebeden Date-Jimbo Kashiwara-Miwa Denkleminin İlerleyen Dalga Çözümleri

Year 2024, , 38 - 51, 30.06.2024

Tolga Aktürk , Aslı Alkan , Hasan Bulut , Nesrin Güllüoğlu

https://doi.org/10.54370/ordubtd.1312038

Abstract

Bu makalede, uyumlu kesirli türevli Date–Jimbo–Kashiwara–Miwa denkleminin ilerleyen dalga çözümleri, değiştirilmiş üstel fonksiyon yöntemi (DÜFY) ile elde edilmiştir. Bulunan dalga çözümlerinin periyodik fonksiyon özelliği taşıyan fonksiyonlar olduğu görülmüştür. Elde edilen dalga çözümlerindeki parametreler için uygun değerler daha sonra, çözüm fonksiyonlarını simüle eden üç boyutlu iki tane kontur ve yoğunluk grafiklerini oluşturmak için kullanılmaktadır.

Keywords

Uyumlu Date–Jimbo–Kashiwara–Miwa denklemi, değiştirilmiş üstel fonksiyon metodu, ilerleyen dalga çözümü

The Traveling Wave Solutions of Date–Jimbo–Kashiwara–Miwa Equation with Conformable Derivative Dependent on Time Parameter

Abstract

In the paper, the traveling wave solutions of the conformable derivative Date–Jimbo–Kashiwara–Miwa equation were obtained by the modified exponential function method (MEFM). It has been seen that the wave solutions found are functions that have the feature of being periodic functions. The proper values for the parameters in the acquired wave solutions are then used to generate two contour and density graphs in three dimensions that simulate the solution functions.

Keywords

Conformable Date–Jimbo–Kashiwara–Miwa equation, modified exponential function method, traveling wave solution

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