Akademik Veri Yönetim Sistemi
(hybrid ) International Conference on Nonlinear Science and Complexity (ICNSC23,) July 10-15, 2023, Istanbul-Turkey, İstanbul, Türkiye, 10 - 15 Temmuz 2023, ss.104
In this paper, optical soliton solutions of the Drinfeld-Sokolov-Satsuma-Hirota equation (DSSH) are examined. Initially, a nonlinear ordinary differential equation (NODE) is obtained by applying a wave transformation to the DSSH equation. By balancing this NODE, the balance number is determined. The candidate solutions, along with their derivatives and wave transformation, are then substituted into the main DSSH equation. This substitution results in a polynomial form. Grouping together terms with the same power in the new equation and setting the coefficients of these terms to zero leads to an algebraic equation system. Solving this system enables the determination of unknown parameters in the candidate solutions and, consequently, the solutions of the DSSH equation. The obtained solutions are visualized through contour plots as well as two and three-dimensional plots. The proposed approaches successfully generate various types of solitons, such as kink solitons, singular solitons, and periodic singular solitons. The findings of this study will significantly contribute to future research in this field.