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

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

Chaos, Solitons & Fractals, 2016, vol. 86, issue C, 64-74

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.

Keywords: Kraenkel–Manna–Merle system; Lax-pairs; Inverse scattering transform; Soliton solutions (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:86:y:2016:i:c:p:64-74

DOI: 10.1016/j.chaos.2016.02.032

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