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On Certain Reductions of Integrable Equations on Symmetric Spaces.
- Source :
-
AIP Conference Proceedings . 4/7/2011, Vol. 1340 Issue 1, p154-164. 11p. - Publication Year :
- 2011
-
Abstract
- We derive a Z2×Z2 reduced integrable system which is deeply connected with the famous Heisenberg ferromagnet equation. Its Lax pair is associated with the symmetric space SO(5)/SO(2)×SO(3). We study the spectral properties of the scattering operator, introduce the basic notions of its direct scattering problem and construct fundamental analytic solutions in terms of Volterra integral equations. We obtain recursion operator to describe the hierarchy of higher order equations associated with the same Lax operator L. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1340
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 59835233
- Full Text :
- https://doi.org/10.1063/1.3582742