Work

Dynamical analysis and soliton solutions of the space–time fractional Kaup–Boussinesq system

Year: 2025

Type: article

Abstract: This research investigates the dynamics of the fractional Kaup-Boussinesq system. Dynamical tools, such as phase portraits, bifurcation diagrams, Poincaré maps, Lyapunov exponents, and sensitivity diagrams, are employed to illustrate the system’s response to initial conditions and variations in parameters. In order to uncover the non-linear complexities of the system, a periodic forcing term is introduced, and chaotic and quasi-periodic behavior is explored. Additionally, using the extended Jacobi elliptic function technique, novel solitary wave solutions are derived, emphasizing the impact of different parameters on non-linear wave behavior. Visual representations, such as density plots and 3D graphs, further enhance the understanding of the intricate dynamics of the system.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101205

Authors: Amjad Hussain, Muhammad Hammad, Ariana Abdul Rahimzai, Wei Sin Koh, Ilyas Khan

Institutions: Quaid-i-Azam University, Laghman University, INTI International University, Majmaah University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,470

OpenAlex ID: W4410109305

FWCI: 3.544

Cites: 33

Cited by: 8

Related to: 10