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Rich Soliton Structures for the Kraenkel-Manna-Merle (KMM) System in Ferromagnetic Materials

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Abstract

A particular attention is paid to investigate the Kraenkel-Manna-Merle (KMM) system, which can describe the nonlinear short-wave propagation in saturated ferromagnetic materials with zero-conductivity in an external field. A class of exact soliton solutions is constructed via the generalized G ′/G-expansion method. Some novel soliton structures are excited by choosing the arbitrary functions in the solution as certain specific functions. Hump-soliton, cusp-soliton, loop-soliton, and kink-soliton are observed graphically. The results reveal the system theoretically possesses extremely rich soliton structures.

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Authors and Affiliations

  1. School of Computer and Information Engineering, Beijing Technology and Business University, Beijing, 100048, China

    Bang-Qing Li

  2. School of Science, Beijing Technology and Business University, Beijing, 100048, China

    Yu-Lan Ma

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  1. Bang-Qing Li
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  2. Yu-Lan Ma
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Correspondence to Bang-Qing Li.

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Li, BQ., Ma, YL. Rich Soliton Structures for the Kraenkel-Manna-Merle (KMM) System in Ferromagnetic Materials. J Supercond Nov Magn 31, 1773–1778 (2018). https://doi.org/10.1007/s10948-017-4406-9

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  • DOI: https://doi.org/10.1007/s10948-017-4406-9

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