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On the conformable nonlinear schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients

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Abstract In this paper, exact traveling wave solutions of the conformable differential equations have been examined. By means of the wave transformation and properties of the conformable derivative (CV), conformable… Click to show full abstract

Abstract In this paper, exact traveling wave solutions of the conformable differential equations have been examined. By means of the wave transformation and properties of the conformable derivative (CV), conformable nonlinear Schrodinger equation (CNLSE) has been converted into an integer order differential equation. To extract optical solutions, the wave profile has been divided into amplitude and phase components. A new extension of the Backlund method has been offered and applied to the CNLSE which has important applications in quantum mechanics. Exact traveling wave solutions of the CNLSE with group velocity dispersion and second order spatiotemporal dispersion coefficients are successfully obtained by means of this method.

Keywords: conformable nonlinear; order; group velocity; equation; velocity dispersion

Journal Title: Chinese Journal of Physics
Year Published: 2021

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