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A new integrable hierarchy and constrained flows, its expanding integrable system
- Source :
-
Applied Mathematics & Computation . Sep2008, Vol. 203 Issue 2, p864-872. 9p. - Publication Year :
- 2008
-
Abstract
- Abstract: A new subalgebra of loop algebra is first constructed. It follows that an isospectral problem is established. Using Tu-pattern gives rise to a new integrable hierarchy, which possesses bi-Hamiltonian structure. Furthermore, by making use of bi-symmetry constraints, the generalized Hamiltonian regular representations for the hierarchy are obtained. Finally, we obtain an expanding integrable system of this hierarchy by applying a scalar transformation between two isospectral problems and constructing a five-dimensional loop algebra . [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICAL analysis
*MATHEMATICS
*ALGEBRA
*LINEAR algebra
*CALCULUS
Subjects
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 203
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 34463068
- Full Text :
- https://doi.org/10.1016/j.amc.2008.05.096