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Propagation of nonlinear waves in bi-inductance nonlinear transmission lines

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  • Emmanuel Kengne
  • Ahmed Lakhssassi

Abstract

We consider a one-dimensional modified complex Ginzburg-Landau equation, which governs the dynamics of matter waves propagating in a discrete bi-inductance nonlinear transmission line containing a finite number of cells. Employing an extended Jacobi elliptic functions expansion method, we present new exact analytical solutions which describe the propagation of periodic and solitary waves in the considered network. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Emmanuel Kengne & Ahmed Lakhssassi, 2014. "Propagation of nonlinear waves in bi-inductance nonlinear transmission lines," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(10), pages 1-10, October.
    • Handle: RePEc:spr:eurphb:v:87:y:2014:i:10:p:1-10:10.1140/epjb/e2014-50406-8
    DOI: 10.1140/epjb/e2014-50406-8
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    Cited by:

    1. Fendzi-Donfack, Emmanuel & Kamkou Temgoua, Gildas William & Djoufack, Zacharie Isidore & Kenfack-Jiotsa, Aurélien & Nguenang, Jean Pierre & Nana, Laurent, 2022. "Exotical solitons for an intrinsic fractional circuit using the sine-cosine method," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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    Statistical and Nonlinear Physics;

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