Bдcklund Transformation and Dressing Chains for the Landau–Lifshitz Equation

A. B. Borisov

Institute of Metal Physics, Ural Division of the Russian Academy of Sciences

Abstract: We use the dressing method for the Landau–Lifshitz equation and the breeding procedure to obtain a modified Landau–Lifshitz equation. We find the Darboux transformation (the “dressing”) for the integrable Landau–Lifshitz equation of the anisotropic magnet. We find the Bäcklund transformations and dressing chains.

Received: 28.12.2000

DOI: 10.4213/tmf493

 English version: Theoretical and Mathematical Physics, 2001, 128:2, 1025–1033

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