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Integrable negative flows of the Heisenberg ferromagnet equation hierarchy

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Abstract

We study the negative flows of the hierarchy of the integrable Heisenberg ferromagnet model and their soliton solutions. The first negative flow is related to the so-called short pulse equation. We provide a framework which generates Lax pairs for the other members of the hierarchy. The application of the dressing method is illustrated with the derivation of the one-soliton solution.

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Acknowledgements

The author is thankful to Prof. V. Gerdjikov for many useful discussions and to an anonymous referee for their valuable suggestions and comments.

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  1. School of Mathematical Sciences, Technological University Dublin, City Campus, Kevin Street, Dublin, D08 NF82, Ireland

    Rossen I. Ivanov

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Ivanov, R.I. Integrable negative flows of the Heisenberg ferromagnet equation hierarchy. Eur. Phys. J. Plus 135, 513 (2020). https://doi.org/10.1140/epjp/s13360-020-00524-3

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