Analytical multi-soliton solutions of a (2+1)-dimensional breaking soliton equation

Abstract

The analytical solutions for a (2+1)-dimensional breaking solution equation is proposed in this paper by using mapping and projective method darboux transformation, and Some exact propagating solutions are constructed for this Breaking equation, and the M × N multi-soliton could be obtained by using Weierstrassp function and setting the perfect parameters. The potential application of breaking Soliton equation will be of great interest in future research.

Novel Analytical Approach for the Space-Time Fractional (2+1)-Dimensional Breaking Soliton Equation via Mathematical Methods

“…In the derived solutions, parameters A 1 , A −1 , A 2 and A −2 received various specific values due to these exact solutions being converted into different solitary wave solutions in different forms, such as hyperbolic, trigonometric and rational functions (Figures 1-6). Currently several methods have been utilized to solve Equation (1) throughout the research literature [40][41][42][43][44][45][46][47][48]. Moreover, our investigated solutions are likely similar to other solutions in different research articles.…”

“…Yildiz and Daghan [43], by using two different methods, investigated exact solutions of Equation (1). Wang in [44] and Chen and Ma in [45] suggested the analytical multi-soliton solutions and exact solutions to the (2+1)-dimensional breaking soliton equation respectively. New multi-soliton solutions and Symmetries solutions of Equation ( 1) have been established in [46,47].…”

Solitary wave solutions to some nonlinear fractional evolution equations in mathematical physics

“…Yildiz and Daghan [57] investigated solutions to the (2 þ 1)-dimensional breaking soliton equation by using two different methods. Wang [58] suggested the analytical multi-soliton solutions to the (2 þ 1)-dimensional breaking soliton equation. Symmetries of the (2 þ 1)-dimensional breaking soliton equation have been used by the authors in [59].…”