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Solutions of Resonant Nonlinear Schrödinger’s Equation with Exotic Non-Kerr Law Nonlinearities

Anwar Ja’afar Mohamad Jawad, Anjan Biswas

2023Al Rafidain Journal of Engineering Sciences23 citationsDOIOpen Access PDF

Abstract

The solitary wave solutions of the quadratic-cubic law and Kerr-Law nonlinearity of the resonant nonlinear Schrödinger's Equation are investigated in this study. The solitary wave solutions of the resonant nonlinear Schrödinger's equations are investigated using the well-known extended simple equation method (ESEM). The field of Soliton in nonlinear fiber optics is where these equations are mainly investigated. We have obtained a new dark-bright, bell-shaped, periodic, unique, and periodic Soliton.

Topics & Concepts

Nonlinear systemSolitonNonlinear Schrödinger equationPhysicsQuadratic equationSchrödinger equationConservation lawField (mathematics)Nonlinear opticsClassical mechanicsMathematical physicsQuantum mechanicsQuantum electrodynamicsMathematicsGeometryPure mathematicsNonlinear Photonic SystemsNonlinear Waves and SolitonsAdvanced Fiber Laser Technologies