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Investigation of solitons in magneto-optic waveguides with Kudryashov’s law nonlinear refractive index for coupled system of generalized nonlinear Schrödinger’s equations using modified extended mapping method

Karim K. Ahmed, Niveen Badra, Hamdy M. Ahmed, Wafaa B. Rabie, Mohammad Mirzazadeh, Mostafa Eslami, Mir Sajjad Hashemi

2024Nonlinear Analysis Modelling and Control50 citationsDOIOpen Access PDF

Abstract

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.

Topics & Concepts

Nonlinear systemElliptic functionRefractive indexHamiltonian (control theory)PhysicsExponential functionDispersion (optics)Mathematical analysisMathematicsOpticsQuantum mechanicsMathematical optimizationNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies