New Soliton Solutions Arising in Some NLEEs

Authors : Uğur BAYRAKCI, Şeyma TÜLÜCE DEMİRAY, Vehpi YILDIRIM

Pages : 51-59

Doi:10.17678/beuscitech.1115396

View : 23 | Download : 11

Publication Date : 2022-06-27

Article Type : Research Paper

Abstract :We have worked on insert ignore into journalissuearticles values(2+1);-dimensional dissipative long wave system insert ignore into journalissuearticles values(DLWS); and insert ignore into journalissuearticles values(2+1);-dimensional Date-Jimbo-Kashiwara-Miwa insert ignore into journalissuearticles values(DJKM); equation. We have applied GKM, which has been obtained by generalizing the Kudryashov method, to the insert ignore into journalissuearticles values(2+1);- dimensional DLWS and insert ignore into journalissuearticles values(2+1);-dimensional DJKM equation. Thus, we have got some new soliton solutions of handled system and equation. We have plotted 2D and 3D surfaces of these acquired results by using Wolfram Mathematica 12. Then, we have shown the validity of the acquired solutions.
Keywords : Generalized Kudryashov method 2 1, dimensional dissipative long wave system 2 1, dimensional Date Jimbo Kashiwara Miwa equation, Soliton solutions