Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations

Yu-Lan Ma and Bang-Qing Li

Chaos, Solitons & Fractals, 2022, vol. 159, issue C

Abstract: In this article, we reinvestigate the Kraenkel-Manna-Merle (KMM) system, which can describe the nonlinear ultra-short wave pulse motions in certain saturated ferromagnetic materials. Starting from the Lax pair of the system, we construct the Darboux transformation of this system. Then, new one-, two- and three-soliton solutions are obtained where free functions with respect to the time variable is involved. A series of novel loop-like soliton structures are excited by choosing the free functions as certain particular functions. The soliton excitation dynamics is also discussed in detailed.

Keywords: Kraenkel-Manna-Merle system; Saturated ferromagnetic material; Darboux transformation; Loop-like soliton excitation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003897

DOI: 10.1016/j.chaos.2022.112179

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