Abstract
Abstract
In this paper, by using the homogeneous equilibrium method, the exact solutions of a modified Bogoyavlenskii’s breaking soliton equation are derived and the soliton solutions with arbitrary functions are constructed. Then, the basic law of interaction between the different solitons are revealed and some new local structures are addressed and discussed. The periodic solitons, parabolic solitons and folded solitons of arbitrary shape propagating with variable speed are considered. It is helpful not only to verify the numerical solution and analyze the stability of the solution, but also to understand the dynamics of the high dimensional nonlinear wave field.
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics
Reference36 articles.
1. The impact of the wiener process on the analytical solutions of the stochastic(2+1)-dimensional breaking soliton equation by using Tanh-Coth method;Farah;Mathematics,2022
2. Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method;Zhang;Chaos, Solitons Fractals,2022
3. Bäcklund transformations and Riemann-Bäcklund method to a (3+1)-dimensional generalized breaking soliton equation;Zhao;The European Physical Journal Plus,2020
4. Solitary wave solutions of the phi-four equation and the breaking soliton system by means of jacobi elliptic sine-cosine expansion method;Alquran;Nonlinear Dynamics and Systems Theory,2018
5. The improved (G′/G)-expansion method to the (2+1)-dimensional breaking soliton equation;Naher;Journal of Computational Analysis and Applications,2014