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Dispersive optical soliton wave solutions for the time-fractional perturbed nonlinear Schrödinger equation with truncated M-fractional conformable derivative in the nonlinear optical fibers

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Abstract

In this article, the generalized Kudryashov method is used to investigate the exact solutions of the time-fractional perturbed nonlinear Schrödinger equation with a truncated M- fractional conformable derivative, as well as the Kerr law and power law of nonlinearity. In mathematical physics and engineering, this equation has a wide range of applications. By using the travelling wave transformation with these two nonlinearities, this governing equation has been transformed to a nonlinear ordinary differential equation, and then the very powerful and efficient method viz. the generalized Kudryashov approach has been applied in the resulting equation to obtain optical soliton solutions. These solutions can be useful and desired for illuminating certain nonlinear physical phenomena in truly nonlinear dynamical systems. This study successfully constructs kink singular, singular soliton, bright, dark, and combined dark-bright optical singular soliton solutions.The physical meaning of 2D and 3D geometrical structures for certain derived solutions has been described here by assigning specific values to the undefined parameters, and it demonstrates the physical configurations of the obtained solutions.

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Acknowledgements

The first author gratefully acknowledges the financial assistance provided by the "Council of Scientific and Industrial Research (CSIR)" fellowship scheme under Grant No. 09/983(0043)/2019-EMR-I.

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

    Nilkanta Das & S. Saha Ray

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  1. Nilkanta Das
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  2. S. Saha Ray
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Correspondence to S. Saha Ray.

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Das, N., Saha Ray, S. Dispersive optical soliton wave solutions for the time-fractional perturbed nonlinear Schrödinger equation with truncated M-fractional conformable derivative in the nonlinear optical fibers. Opt Quant Electron 54, 544 (2022). https://doi.org/10.1007/s11082-022-03899-y

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