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A new matrix Lie algebra, the multicomponent Yang hierarchy and its super-integrable coupling system
- Source :
-
Applied Mathematics & Computation . Jan2009, Vol. 207 Issue 2, p380-387. 8p. - Publication Year :
- 2009
-
Abstract
- Abstract: A set of new matrix Lie algebra is constructed, which is devoted to obtaining a new loop algebra . It follows that an isospectral problem is established. By use of Tu scheme, a Liouville integrable multi-component hierarchy of soliton equations is generated, which possesses the multi-component Hamiltonian structures. As its reduction cases, the multi-component Yang hierarchy is given. Finally, the multi-component super-integrable coupling system of Yang hierarchy is presented by enlarging matrix spectral problem. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 207
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 36190222
- Full Text :
- https://doi.org/10.1016/j.amc.2008.10.050