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Modulational instability and peak solitary wave in a discrete nonlinear electrical transmission line described by the modified extended nonlinear Schrödinger equation

Author

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  • Guy Roger Deffo

    (Unité de Recherche de Mécanique et de Modélisation des Systèmes Physiques (UR-2MSP), Faculté des Sciences, Université de Dschang)

  • Serge Bruno Yamgoue

    (Higher Teacher Training College Bambili, University of Bamenda)

  • Francois Beceau Pelap

    (Unité de Recherche de Mécanique et de Modélisation des Systèmes Physiques (UR-2MSP), Faculté des Sciences, Université de Dschang)

Abstract

The present work describes the propagation of plane and peak solitary waves in a modified extended nonlinear Schrödinger (MENLS) equation that was earlier shown to govern the dynamics of modulated waves in a discrete nonlinear electrical transmission line (DNLETL). Firstly, the analytic expression for the modulational instability gain is found and the influence of wavenumber and wave amplitude on the gain is derived. It is predicted that they can be used to control the occurrence of modulation instability phenomenon in the network. Afterwards, using the MENLS equation, we show that this model of nonlinear electrical transmission line admits peak solitary wave for physically realistic parameters of the system. Direct numerical simulations are performed on the exact equations of the lattice and the obtained results are in very good agreement with the analytical predictions.

Suggested Citation

  • Guy Roger Deffo & Serge Bruno Yamgoue & Francois Beceau Pelap, 2018. "Modulational instability and peak solitary wave in a discrete nonlinear electrical transmission line described by the modified extended nonlinear Schrödinger equation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(10), pages 1-9, October.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:10:d:10.1140_epjb_e2018-90217-3
    DOI: 10.1140/epjb/e2018-90217-3
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    Cited by:

    1. Deffo, Guy Roger & Yamgoué, Serge Bruno & Pelap, François Beceau, 2021. "Bifurcation of solitary and periodic waves of an extended cubic-quintic Schrödinger equation with nonlinear dispersion effects governing modulated waves in a bandpass inductor-capacitor network," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Essama, Bedel Giscard Onana & Bisse, Jacquie Therese Ngo & Essiane, Salome Ndjakomo & Atangana, Jacques, 2022. "M-shaped and other exotic solitons generated by cubic-quintic saturable nonlinearities in a nonlinear electrical transmission network with higher-order dispersion effects," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Aksoy, Abdullah & Yenikaya, Sibel, 2023. "Soliton wave parameter estimation with the help of artificial neural network by using the experimental data carried out on the nonlinear transmission line," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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    Keywords

    Statistical and Nonlinear Physics;

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