Work

Chaotic perturbations of solitons in complex conformable Maccari system

Year: 2025

Type: article

Abstract: In this research work, we use the generalized Bernoulli equation method (gBEM) to investigate the chaotic nature of solitons in complex structured conformable coupled Maccari system (CCMS) which is a fractional generalization of a nonlinear model coupled Maccari system (CMS) initially created to simulate hydraulic systems. This key model has numerous applications in several disciplines such as hydrodynamics, optics, quantum mechanics and plasma physics. The proposed gBEM converts the CCMS into a set of nonlinear ordinary differential equations (NODEs) to construct fresh plethora of soliton solutions in the form of rational, trigonometric, hyperbolic, and exponential functions. To comprehend the dynamics of acquired solitons in CCMS, a series of 3D and counter plots are used which graphically illustrate and reveal two types of chaotic perturbations, namely axial and periodic perturbations in the acquired solitons. Furthermore, the efficiency and adaptability of our method in handling a range of nonlinear models in mathematical science and engineering are confirmed by our computational work.

Source: AIMS Mathematics

DOI: 10.3934/math.2025305

Authors: M. Mossa Al-Sawalha, Safyan Mukhtar, Azzh Saad Alshehry, Mohammad Alqudah, Musaad S. Aldhabani

Institutions: University of Ha'il, King Faisal University, Princess Nourah bint Abdulrahman University, German Jordanian University, University of Tabuk

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: $1,200

Funders: Princess Nourah Bint Abdulrahman University, King Faisal University