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- Title
Complex behaviors and various soliton profiles of (2+1)-dimensional complex modified Korteweg-de-Vries Equation.
- Authors
ur Rahman, Mati; Karaca, Yeliz; Sun, Mei; Baleanu, Dumitru; Alfwzan, Wafa F.
- Abstract
Nonlinear dynamical problems, characterized by unpredictable and chaotic changes among variables over time, pose unique challenges in understanding. This paper explores the coupled nonlinear (2+1)-dimensional complex modified Korteweg-de-Vries (cmKdV) equation-a fundamental equation in applied magnetism and nanophysics. The study focuses on dynamic behaviors, specifically examining bifurcations and equilibrium points leading to chaotic phenomena by introducing an external term to the system. Employing chaos theory, we showcase the chaotic tendencies of the perturbed dynamical system. Additionally, a sensitivity analysis using the Runge-Kutta method reveals the solution's stability under slight variations in initial conditions. Innovatively, the paper utilizes the planar dynamical system technique to construct various solitons within the governing model. This research provides novel insights into the behavior of the (2+1)-dimensional cmKdV equation and its applications in applied magnetism and nanophysics.
- Subjects
RUNGE-Kutta formulas; NONLINEAR equations; CHAOS theory; DYNAMICAL systems; EQUATIONS; NONLINEAR dynamical systems
- Publication
Optical & Quantum Electronics, 2024, Vol 56, Issue 5, p1
- ISSN
0306-8919
- Publication type
Article
- DOI
10.1007/s11082-024-06514-4