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Wave packet propagating in an electrical transmission line

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  • Lin, Mai-mai
  • Duan, Wen-shan

Abstract

A nonlinear Schrödinger equation (NLSE) is derived for a nonlinear transmission line in which the nonlinear capacitance C is a function of voltage. For a linear long wavelength perturbations to a solution of a NLSE, the instability region is given in this paper.

Suggested Citation

  • Lin, Mai-mai & Duan, Wen-shan, 2005. "Wave packet propagating in an electrical transmission line," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 191-196.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:191-196
    DOI: 10.1016/j.chaos.2004.09.015
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    Cited by:

    1. Mostafa, S.I., 2009. "Analytical study for the ability of nonlinear transmission lines to generate solitons," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2125-2132.
    2. Yan, Yun & Moxley, Frederick Ira & Dai, Weizhong, 2015. "A new compact finite difference scheme for solving the complex Ginzburg–Landau equation," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 269-287.
    3. Ambassa, Georges Bickele & Motto, Frederic Biya & Zobo, Bernard Essimbi & Kofane, Timoleon Crepin, 2016. "Wave solitons in a coupled left-handed nonlinear transmission line: Effect of the coupling parameter," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 400-405.

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