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Influence of pseudo-stimulated-Raman-scattering on the modulational instability in an inhomogeneous nonlinear medium

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Abstract

We study the influence of the pseudo-Raman effect on the modulation instability (MI) in an inhomogeneous nonlinear medium. The system is governed by the extended nonlinear Schrödinger (NLS) equation, which is derived from a Zakharov-type system for the interaction between high-frequency and low-frequency waves. The resulting inhomogeneous NLS equation includes a pseudo-stimulated-Raman-scattering term. The model may apply to the propagation of waves in plasmas, surface waves in the ocean, and optical beams in nonlinear waveguides. This nonautonomous model is converted into an autonomous equation by a similarity transformation, allowing us to find MI regions of the system. The results suggest new possibilities for controlling multi-soliton patterns generated by the MI. The MI patterns are also produced by numerical simulations that confirm the analytical results.

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal de Goiás, 74.690-900, Goiânia, Goiás, Brazil

    Luciano Calaça, Ardiley T. Avelar & Wesley B. Cardoso

  2. Instituto Federal de Goiás, 74.968-755, Aparecida de Goiânia, Goiás, Brazil

    Luciano Calaça

  3. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv, 69978, Israel

    Boris A. Malomed

  4. ITMO University, St. Petersburg, 197101, Russia

    Boris A. Malomed

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  1. Luciano Calaça
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  2. Ardiley T. Avelar
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  3. Boris A. Malomed
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  4. Wesley B. Cardoso
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Correspondence to Wesley B. Cardoso.

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Calaça, L., Avelar, A.T., Malomed, B.A. et al. Influence of pseudo-stimulated-Raman-scattering on the modulational instability in an inhomogeneous nonlinear medium. Eur. Phys. J. Spec. Top. 227, 551–561 (2018). https://doi.org/10.1140/epjst/e2018-00118-5

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