article · Nonlinear Analysis Modelling and Control
The research examines optical solitons and additional wave structures propagating through magneto-optic waveguides governed by Kudryashov’s law of nonlinear refractive index. The underlying mathematical model incorporates chromatic dispersion and Hamiltonian-type perturbation factors, resolved through the application of the modified extended mapping approach. A broad spectrum of analytical solutions is established, including bright solitons, dark solitons, and singular solitons. The investigation also identifies singular periodic wave solutions, exponential wave solutions, rational wave solutions, Weierstrass elliptic doubly periodic solutions, and Jacobi elliptic function solutions. Certain extracted solutions are illustrated graphically to provide a clearer physical understanding of wave dynamics and behaviour across these waveguide configurations.
Understanding how light pulses and wave structures travel through complex nonlinear waveguides is fundamental to theoretical optics. By establishing a comprehensive range of exact solutions, including stable bright and dark solitons, this mathematical analysis provides valuable insight into the physical behaviour of optical signals subjected to chromatic dispersion and perturbations in magneto-optic media.
The abstract does not indicate an application pathway or commercial readiness level for the mathematical wave solutions.
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In this work, we investigate the optical solitons and other waves through magneto-optic waveguides with Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation factors using the modified extended mapping approach. Many classifications of solutions are established like bright solitons, dark solitons, singular solitons, singular periodic wave solutions, exponential wave solutions, rational wave, solutions, Weierstrass elliptic doubly periodic solutions, and Jacobi elliptic function solutions. Some of the extracted solutions are described graphically to provide their physical understanding of the acquired solutions.
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DOI: 10.15388/namc.2024.29.34070
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