(2+1)-Boyutlu Kundu-Mukherjee-Naskar Denkleminin Birle¸sik Çözücü Teknik Yoluyla Dark ve Bright Solitonlarının Incelenmesi

Year 2023, , 65 - 74, 21.07.2023

Volkan Ala

https://doi.org/10.33484/sinopfbd.1292996

Abstract

Bu çalışmada, (2+1)-boyutlu Kundu-Mukherjee-Naskar denkleminin dark ve bright soliton çözümleri varyasyonel metot aracılığıyla birleştirilmiş çözücü teknikle inşa edilmiştir. tekniğin temel özelliklerine uygun olarak dark ve bright soliton çözümleri elde edilmiştir. Ayrıca elde edilen çözümlere spesifik değerler verilerek, çözümlerin iki ve üç boyutlu grafikleri paket program aracılığıyla çizilmiştir. Birleşik çözüm tekniği, akışkanlar mekaniği, nükleer, plazma ve parçacık fiziğindeki kısmi diferansiyel denklemlerin çeşitli tam çözümlerini elde etmek için uygulanabilen kullanımı kolay bir yöntemdir.

Keywords

Dalga dönüşümü, birleştirilmiş çözücü teknik, solitonlar

Examination of dark and bright solitons of (2+1)-dimensional Kundu-Mukherjee-Naskar equation via unified solver technique

Abstract

In this study, dark and bright solitons of the (2+1)-dimensional Kundu-Mukherjee-Naskar equation are constructed with unified solver in terms of He's variations method. In accordance with basic properties of proposed technique, some dark and bright solitons are obtained. Moreover, giving specific values to the achieved solutions, 2D and 3D graphics are plotted with the help of software package.The unified solver technique extract vital solutions in explicit way. It is an easy-to-use method applied to obtain various exact solutions of nonlinear partial differential equations arising in fluid mechanics, nuclear, plasma and particle physics.

Keywords

Wave transformation, unified solver technique, solitons

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