Work

Quasi-periodic, strange chaotic behaviors, and soliton solutions of the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Year: 2026

Type: article

Abstract: Soliton solutions and chaotic analysis in integrable equations have become a hot topic in recent years. This work presents the qualitative dynamics and analytical solutions of (4+1)-D Boiti-Leon-Manna-Pempinelli (BLMP) model. Utlizing dynamical system approach, the mathematical analysis is performed. The given model is transformed into system of nonlinear ordinary differential equations (ODEs) via the Galilean transform. We study the bifurcations, quasi-periodic and chaotic dynamics, return maps, power spectrum, and strange attractors of the proposed model. Moreover, the soliton solutions are obtained with applications of the Khater method and the modified extended Tanh-function method (METM). The obtained results are illustrated in detail through 2D and 3D graphical representations.

Source: Applied Mathematics in Science and Engineering

DOI: 10.1080/27690911.2026.2630083

Authors: Khaled Aldwoah, W. Eltayeb Ahmed, Mohammed Alsharafi, Alaa Mustafa, E. I. Hassan, Ria H. Egami

Institutions: Islamic University of Madinah, Imam Mohammad ibn Saud Islamic University, Sana'a University, Yıldız Technical University, Prince Sattam Bin Abdulaziz University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University

OpenAlex ID: W7128996185

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Cites: 32

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