Qualitative analysis and traveling wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with conformable fractional derivative
Year: 2025
Type: article
Abstract: This study aims to investigate the qualitative behavior analysis and traveling wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with conformable fractional derivative. The equation serves as a prominent physics-based mathematical model with numerous practical uses. To analyze the studied equation, we convert it into an ordinary differential equation via traveling wave transformation and then apply the polynomial trial method to deduce its trial equation. Subsequently, the equation with periodically excited perturbation is analyzed using phase trajectory diagrams, bifurcation diagrams, and Lyapunov exponents. Additionally, by utilizing a polynomial complete discrimination system, we derive trigonometric, hyperbolic, and Jacobi elliptic function solutions, some of which are visually represented through figures. These findings enhance the theoretical understanding of the (3+1)-dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with conformable fractional derivative and contribute to the study of nonlinear wave phenomena.
Source: Electronic Research Archive
DOI: 10.3934/era.2025165
Authors: Shan Zhao, Jun Feng
Institutions: Chengdu University of Technology, Chengdu 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: $1,000
OpenAlex ID: W4411263770