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Deformation of inhomogeneous vector optical rogue waves in the variable coefficients coupled cubic–quintic nonlinear Schrödinger equations with self-steepening

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Abstract

In this study, we explore variable coefficients coupled cubic–quintic nonlinear Schrödinger (CQNLS) equations with self-steepening, modeling optical pulse propagation in inhomogeneous birefringent optical fibers. We employ a similarity transformation technique to transform the inhomogeneous optical model into a homogeneous system consisting of two coupled CQNLS equations that satisfy integrable constraints. By utilizing the vector first- and second-order rogue wave solutions of the later equations, we obtain various inhomogeneous optical rogue waves: bright-bright, dark-bright, bright-bright doublet, quartet, and sextet for the considered system. The dynamical characteristics of these solutions are controlled by appropriately configuring the structural parameters in the derived solutions. Our investigation delves into the intricate features of these inhomogeneous vector optical rogue waves, with a particular focus on the effects of three longitudinally varying distinct dispersion parameters, namely exponential, kink-like and periodic. Throughout our study, we observe a wide spectrum of notable nonlinear phenomena in the intensity profiles of vector inhomogeneous rogue waves. These phenomena encompass deformation, enhancement, compression, stretching, suppression, and breathing behavior. The insights gained from this research hold significant promise for advancing the field of nonlinear optics, particularly in the realm of experimental investigations involving vector optical rogue waves in inhomogeneous birefringent fibers.

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No data were used for the research described in the article.

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Acknowledgements

M.M, K.M and A.M gratefully acknowledge the Centre for Computational Modeling, Chennai Institute of Technology, India, vide funding number CIT/CCM/2024/RP-017. KM is also supported by the Science and Engineering Research Board (SERB), Govt. of India, through MATRICS research grant (No. MTR/2023/000921).

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Authors and Affiliations

  1. Centre for Computational Modeling, Chennai Institute of Technology, Chennai, Tamil Nadu, 600 069, India

    M. Manigandan, K. Manikandan & A. Muniyappan

  2. Department of Mathematics, The Apollo University, Chittoor, Andhra Pradesh, 517127, India

    S. Jakeer

  3. Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand

    S. Sirisubtawee

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  1. M. Manigandan
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Manigandan, M., Manikandan, K., Muniyappan, A. et al. Deformation of inhomogeneous vector optical rogue waves in the variable coefficients coupled cubic–quintic nonlinear Schrödinger equations with self-steepening. Eur. Phys. J. Plus 139, 405 (2024). https://doi.org/10.1140/epjp/s13360-024-05205-z

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