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- Title
An integrable extension of TD hierarchy and generalized bi-Hamiltonian structures.
- Authors
Liu, Huan; Geng, Xianguo
- Abstract
A hierarchy of new nonlinear evolution equations associated with matrix spectral problems are proposed, which is a naturally integrable extension of the TD hierarchy. It is shown that all nonlinear evolution equations in the hierarchy have generalized bi-Hamiltonian structures with the help of the trace identity. Moreover, the infinite sequence of conserved quantities of the first nontrivial equation in the hierarchy is constructed by means of spectral parameter expansion.
- Subjects
INTEGRABLE functions; NONLINEAR evolution equations; HAMILTONIAN systems; CONSERVATION laws (Physics); MATRICES (Mathematics); PARAMETER estimation
- Publication
Modern Physics Letters B, 2015, Vol 29, Issue 21, p-1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S021798491550116X