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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 5/2024

01.05.2024

Complex behaviors and various soliton profiles of (2+1)-dimensional complex modified Korteweg-de-Vries Equation

verfasst von: Mati ur Rahman, Yeliz Karaca, Mei Sun, Dumitru Baleanu, Wafa F. Alfwzan

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2024

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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.
Vorheriger Artikel Induced red emission and diamagnetic maintenance in cubic Sb2O3 nanostructures via nitrogen insertion
Nächster Artikel Ab initio analysis of structural, optoelectronic, thermoelectric, and elastic characteristics of K2MBiBr6 (M = Na, Ag, and Cu) for green energy

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Metadaten
Titel
Complex behaviors and various soliton profiles of (2+1)-dimensional complex modified Korteweg-de-Vries Equation
verfasst von
Mati ur Rahman
Yeliz Karaca
Mei Sun
Dumitru Baleanu
Wafa F. Alfwzan
Publikationsdatum
01.05.2024
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 5/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-024-06514-4

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