Demontis, Francesco, Ortenzi, Giovanni, Sommacal, Matteo and van der Mee, Cornelis (2019) The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. I. Direct and inverse scattering theory. Ricerche di Matematica, 68 (1). pp. 145-161. ISSN 0035-5038
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Demontis et al - The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions pt 1 AAM.pdf - Accepted Version Download (188kB) | Preview |
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.
| Item Type: | Article |
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| Uncontrolled Keywords: | Classical Heisenberg ferromagnet equation, Soliton solutions, Inverse scattering transform, Magnetic droplet, Ferromagnetic materials |
| Subjects: | F300 Physics G100 Mathematics |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Depositing User: | Paul Burns |
| Date Deposited: | 04 Jun 2018 08:35 |
| Last Modified: | 01 Aug 2021 11:33 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/34455 |
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