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Dark-managed solitons in inhomogeneous cubic–quintic–septimal nonlinear media

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Abstract

We investigate the inhomogeneous higher-order nonlinear Schrödinger (INHLS) equation including cubic–quintic–septic (CQS) nonlinear terms and gain or loss with variable coefficients. The exact analytic solution that describes dark soliton-type pulse propagation is found for the model by employing the ansatz method. Unlike the traditional \(\text {tanh}\) dark soliton in Kerr-type media, the functional form of this novel dark-managed soliton structure takes a \(\text {sech}^{2/3}\) profile. Parametric conditions are presented in which these optical solitons exist. We also investigated the stability of these dark-managed solitons under some initial perturbations by employing the numerical simulation methods. Finally, the interaction dynamics of two and three dark-managed solitons has been numerically explored.

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Acknowledgements

KM, FA and AB acknowledge the support of DGEFS/Ministry of Higher Education and Scientific Research through PRFU Project No. B00L02UN410120190002.

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  1. Kamel Maddouri

    Present address: Laboratoire de Physique de la Matière et du Rayonnement (LPMR), Département de Sciences de la Matière, Université de Souk-Ahras, BP 1553, 41000, Souk-Ahras, Algeria

Authors and Affiliations

  1. Laboratoire de Physique des Rayonnements, Département de Physique, Faculté des Sciences, Université Badji Mokhtar Annaba, BP 12, 23000, Annaba, Algeria

    Kamel Maddouri, Houria Triki & Sabiha Amara Korba

  2. Laboratoire de Physique de la Matière et du Rayonnement (LPMR), Département de Sciences de la Matière, Université de Souk-Ahras, BP 1553, 41000, Souk-Ahras, Algeria

    Faiçal Azzouzi & Abdesselam Bouguerra

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  1. Kamel Maddouri
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  2. Faiçal Azzouzi
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Correspondence to Abdesselam Bouguerra.

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Maddouri, K., Azzouzi, F., Triki, H. et al. Dark-managed solitons in inhomogeneous cubic–quintic–septimal nonlinear media. Nonlinear Dyn 103, 2793–2803 (2021). https://doi.org/10.1007/s11071-021-06251-3

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