Dynamical behavior analysis and soliton solutions of the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equations

• Published in: Results in physics 2024-05, Vol.60, p.107667, Article 107667
• Main Author: Luo, Jie
• Format: Article
• Language: English
• Subjects: Bifurcation; Generalized Whitham–Broer–Kaup–Boussinesq–Kupershmidt equations; Soliton solution
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2024.107667

This article investigates the dynamical behavior analysis and soliton solutions of the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equations in fluid flow dynamics and plasma waves. Firstly, the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equations are simplified into the ordinary differential equations. Secondly, two-dimensional planar dynamical system and its phase portraits are given by utilizing the theory of planar dynamical system analysis. Finally, the soliton solutions of the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equations are presented by using the fourth-order complete discriminant system. In order to better reveal the soliton propagation phenomenon of the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equations, some three-dimensional, two-dimensional, and contour graphs of the solutions were drawn. •The main purpose of this paper is to study dynamical behavior analysis and soliton solutions of the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equations.•Some specific parameters are given to draw the plane phase portrait of the dynamic system.•The soliton solutions of the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equation are constructed.