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On the propagation of solitons in ferrites: The inverse scattering approach

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  • Tchokouansi, Hermann T.
  • Kuetche, Victor K.
  • Kofane, Timoleon C.

Abstract

We pay particular attention to a nonlinear evolution system derived by Kraenkel et al. (2000) from Maxwell’s equations and the Landau–Lifshitz–Gilbert equation, describing the propagation of ultra-short wave in ferromagnetic materials. Since the associated Lax-pairs of such a system has been provided standing for a proof of its integrability, we follow the inverse scattering transform method and particularly the Wadati–Konno–Ichikawa scheme to unveil the soliton solutions to this system and study their scattering properties.

Suggested Citation

  • Tchokouansi, Hermann T. & Kuetche, Victor K. & Kofane, Timoleon C., 2016. "On the propagation of solitons in ferrites: The inverse scattering approach," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 64-74.
    • Handle: RePEc:eee:chsofr:v:86:y:2016:i:c:p:64-74
    DOI: 10.1016/j.chaos.2016.02.032
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    Cited by:

    1. Tchokouansi, Hermann T. & Tchomgo Felenou, E. & Tchidjo, Robert Tamwo & Kuetche, Victor K. & Bouetou, Thomas B., 2019. "Traveling magnetic wave motion in ferrites: Impact of inhomogeneous exchange effects," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 1-5.
    2. Tchokouansi, Hermann T. & Tchidjo, Robert Tamwo & Kuetche, Victor K. & Felenou, E. Tchomgo, 2022. "Propagation of single valued magnetic solitary waves in circularly polarized ferrites," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Amjad, Zeeshan & Haider, Bushra, 2020. "Binary Darboux transformation of time-discrete generalized lattice Heisenberg magnet model," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    4. Ma, Yu-Lan & Li, Bang-Qing, 2022. "Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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