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Charge transport as a fundamental property of solitons in nonlinear transmission lines

Author

Listed:
  • Trukhachev, F.M.
  • Statsenko, K.B.
  • Gerasimenko, N.V.
  • Vasiliev, M.M.
  • Petrov, O.F.

Abstract

Solitons in a nonlinear transmission line are studied theoretically, experimentally, and through simulation in NI Multisim 11.0 software. A line consisting of a long sequence of LC cells with BB112 varactors as nonlinear elements is studied in detail. Longitudinal currents arising in the line during the propagation of solitons are investigated thoroughly (previous works analyzed only the voltage between the conductors of the line). Based on the KdV equation, a formula is derived to describe the current soliton profile, which for small amplitudes takes the standard form ∼sech2(x). The unipolar current profile in the line indicates unidirectional charge (and, consequently, matter) transport by solitons.

Suggested Citation

  • Trukhachev, F.M. & Statsenko, K.B. & Gerasimenko, N.V. & Vasiliev, M.M. & Petrov, O.F., 2026. "Charge transport as a fundamental property of solitons in nonlinear transmission lines," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p2:s0960077925015966
    DOI: 10.1016/j.chaos.2025.117583
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    References listed on IDEAS

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    1. Alexander P. Chetverikov & Werner Ebeling & Eckehard Schöll & Manuel G. Velarde, 2019. "Nonlinear excitations and bound states of electrons, holes and solitons in bilayers of triangular lattices," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(6), pages 1-11, June.
    2. 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.
    3. Dubinov, Alexander E. & Lebedeva, Xenia I., 2021. "Ambiplasma separation into matter and antimatter by a train of baryon-acoustic solitons in the problem of the baryon asymmetry of the Universe," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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