We develop the direct and inverse scattering theory of the linear eigenvalue problem associated with the classical Heisenberg continuous equation with in-plane asymptotic conditions. In particular, analyticity of the scattering eigenfunctions and scattering data, and their asymptotic behaviours are derived. The inverse problem is formulated in terms of Marchenko equations, and the reconstruction formula of the potential in terms of eigenfunctions and scattering data is provided.

Demontis, F., Ortenzi, G., Sommacal, M., van der Mee, C. (2019). The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. I. Direct and inverse scattering theory. RICERCHE DI MATEMATICA, 68(1), 145-161 [10.1007/s11587-018-0394-8].

The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. I. Direct and inverse scattering theory

Ortenzi, G;
2019

Abstract

We develop the direct and inverse scattering theory of the linear eigenvalue problem associated with the classical Heisenberg continuous equation with in-plane asymptotic conditions. In particular, analyticity of the scattering eigenfunctions and scattering data, and their asymptotic behaviours are derived. The inverse problem is formulated in terms of Marchenko equations, and the reconstruction formula of the potential in terms of eigenfunctions and scattering data is provided.
Articolo in rivista - Articolo scientifico
Classical Heisenberg ferromagnet equation; Ferromagnetic materials; Inverse scattering transform; Magnetic droplet; Soliton solutions; Mathematics (all); Applied Mathematics
English
2019
68
1
145
161
none
Demontis, F., Ortenzi, G., Sommacal, M., van der Mee, C. (2019). The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. I. Direct and inverse scattering theory. RICERCHE DI MATEMATICA, 68(1), 145-161 [10.1007/s11587-018-0394-8].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/211154
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