Complex behaviors and various soliton profiles of (2+1)-dimensional complex modified Korteweg-de-Vries Equation
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11082_2024_6514_ReferencePDF.pdf
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Author(s)
ur Rahman, Mati
Karaca, Yeliz
Sun, Mei
Baleanu, Dumitru
Alfwzan, Wafa F.
Date Issued
April 6, 2024
Journal
Optical and Quantum Electronics
Publisher
Springer US
Citation
ur Rahman, M., Karaca, Y., Sun, M. et al. Complex behaviors and various soliton profiles of (2+1)-dimensional complex modified Korteweg-de-Vries Equation. Opt Quant Electron 56, 878 (2024).
Version
Author's final manuscript
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.
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s11082-024-06514-4
