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Newly generated optical wave solutions and dynamical behaviors of the highly nonlinear coupled Davey-Stewartson Fokas system in monomode optical fibers

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Abstract

In this work, we use two extremely efficient methods, generalized Kudryashov (GK) and generalized Riccati equation mapping (GREM), to extract various optical wave soliton solutions to the (2+1)-dimensional Davey-Stewartson Fokas (DS-Fokas) system, which is an ideal model for nonlinear pulse propagation in monomode optical fibers. The employed methods are very efficient and robust mathematical approaches for solving various nonlinear models of a variety of nonlinear Schrödinger’s equations (NLSEs) in mathematical physics and sciences. Firstly, the traveling wave transformation converts the given nonlinear equation with a partial derivative into an ordinary differential equation (ODE). Then, different novel types of optical soliton solutions are attained using the abovementioned methods. Indeed, the obtained solutions are beneficial and important for explaining the physical phenomena of the DS-Fokas model. In the literature survey, we have found that these acquired solutions are very new and have not been discussed earlier. Some numerical simulations of the solutions have been performed for a better understanding of the results obtained with the use of symbolic computations. Furthermore, these obtained solutions are discussed graphically to attain a deep knowledge and vision of the mechanisms of all nonlinear phenomena. As a result, the wave profiles of the lump soliton, bell-shaped soliton, anti-bell-shaped soliton, periodic soliton, multisoliton, and other solitons have been displayed using three-dimensional (3D) contour plots and two-dimensional (2D) plots created with the computer software Mathematica 11.3. Moreover, the above-utilized techniques have been assumed to be essential tools for describing some nonlinear physical phenomena, namely, the nonlinear pulse propagations in monomode optical fibers, fluid mechanics, and plasma physics.

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Acknowledgements

The authors would like to thank the Editor and the referees for their insightful, informative, and helpful comments. Sachin Kumar, the author, would also like to thank the Science and Engineering Research Board SERB-DST, Government of India, for financial assistance provided through the MATRICS Scheme (MTR/2020/000531).

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  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India

    Sachin Kumar

  2. Department of Mathematics, Sri Vankateswara College, University of Delhi, Delhi, 110021, India

    Amit Kumar

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  1. Sachin Kumar
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  2. Amit Kumar
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Kumar, S., Kumar, A. Newly generated optical wave solutions and dynamical behaviors of the highly nonlinear coupled Davey-Stewartson Fokas system in monomode optical fibers. Opt Quant Electron 55, 566 (2023). https://doi.org/10.1007/s11082-023-04825-6

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