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Novel optical soliton solutions for time-fractional resonant nonlinear Schrödinger equation in optical fiber

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Abstract

The time-fractional resonant nonlinear Schrödinger equation is studied in this paper using the modified auxiliary equation approach. This effort yields several innovative optical soliton solutions to the investigated problem. An equivalent nonlinear ordinary differential equation with integer-order has been obtained from the time-fractional RNLSE using the modified Riemann–Liouville derivative along with fractional complex transform, and then the emerged equations are solved using the most impressive direct method, the modified auxiliary equation method. As a consequence, novel optical soliton solutions have been successfully developed, with several 3-D graphs demonstrating their behaviour.

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  1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, 769008, India

    N. Das & S. Saha Ray

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  1. N. Das
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  2. S. Saha Ray
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Das, N., Saha Ray, S. Novel optical soliton solutions for time-fractional resonant nonlinear Schrödinger equation in optical fiber. Opt Quant Electron 54, 112 (2022). https://doi.org/10.1007/s11082-021-03479-6

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