The Riemann boundary problem on a torus and the inverse scattering problem for the Landau-Lifschitz equation |
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| Authors: | Yu. L. Rodin |
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| Affiliation: | (1) Institute of Solid State Physics, Academy of Sciences of the U.S.S.R., 142432 Chernogolovka, USSR |
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| Abstract: | The Landau-Lifschitz equation for ferromagnets is written as a compatibility condition of two linear differential equations. The inverse scattering problem for this system is ruduced to the matrix Riemann boundary problem on a torus and then to a certain Fredholm integral equation. The N-soliton solitoons are also obtaine. |
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