Superposition and Interaction Dynamics of Complexitons, Breathers, and Rogue Waves in a Landau–Ginzburg–Higgs Model for Drift Cyclotron Waves in Superconductors

This article implements the Hirota bilinear (HB) transformation technique to the Landau–Ginzburg–Higgs (LGH) model to explore the nonlinear evolution behavior of the equation, which describes drift cyclotron waves in superconductivity. Utilizing the Cole–Hopf transform, the HB equation is derived, a...

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Bibliographic Details
Published in:Axioms 2024-11, Vol.13 (11), p.763
Main Authors: Saber, Hicham, Suhail, Muntasir, Alsulami, Amer, Aldwoah, Khaled, Mustafa, Alaa, Hassan, Mohammed
Format: Article
Language:English
Subjects:
Analysis
Breathers
Cole–Hopf transform
Cyclotrons
Exact solutions
Hirota bilinear equation
Landau–Ginzburg–Higgs model
multi-wave complexion
Nonlinear dynamics
nonlinear systems
Phase transitions
Physical properties
Physics
Solitary waves
Superconductivity
Superconductors
Traveling waves
Water waves
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Summary:This article implements the Hirota bilinear (HB) transformation technique to the Landau–Ginzburg–Higgs (LGH) model to explore the nonlinear evolution behavior of the equation, which describes drift cyclotron waves in superconductivity. Utilizing the Cole–Hopf transform, the HB equation is derived, and symbolic manipulation combined with various auxiliary functions (AFs) are employed to uncover a diverse set of analytical solutions. The study reveals novel results, including multi-wave complexitons, breather waves, rogue waves, periodic lump solutions, and their interaction phenomena. Additionally, a range of traveling wave solutions, such as dark, bright, periodic waves, and kink soliton solutions, are developed using an efficient expansion technique. The nonlinear dynamics of these solutions are illustrated through 3D and contour maps, accompanied by detailed explanations of their physical characteristics.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13110763