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Abstract Traveling wave reduction of the resonant nonlinear Schrodinger equation with arbitrary refractive index is considered. The system of equations for real and imaginary parts is presented. The first integrals… Click to show full abstract
Abstract Traveling wave reduction of the resonant nonlinear Schrodinger equation with arbitrary refractive index is considered. The system of equations for real and imaginary parts is presented. The first integrals for the system of equations are found. This system of equations is transformed to the only governing nonlinear ordinary differential equations of the first order. Exact solutions in the form of periodic and solitary waves of this nonlinear ordinary differential equation are given for various values of the refractive index.
Journal Title: Optik
Year Published: 2021
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