Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order
نویسندگان
چکیده
Article history: Received 21 February 2011 Received in revised form 18 May 2011 Accepted 12 June 2011 Available online 22 June 2011
منابع مشابه
The separability and dynamical r-matrix for the constrained flows of Jaulent-Miodek hierarchy
We show here the separability of Hamilton-Jacobi equation for a hierarchy of integrable Hamiltonian systems obtained from the constrained flows of the Jaulent-Miodek hierarchy. The classical Poisson structure for these Hamiltonian systems is constructed. The associated r-matrices depend not only on the spectral parameters, but also on the dynamical variables and, for consistency, have to obey t...
متن کاملNonlinear continuous integrable Hamiltonian couplings
Based on a kind of special non-semisimple Lie algebras, a scheme is presented for constructing nonlinear continuous integrable couplings. Variational identities over the corresponding loop algebras are used to furnish Hamiltonian structures for the resulting continuous integrable couplings. The application of the scheme is illustrated by an example of nonlinear continuous integrable Hamiltonian...
متن کاملIntegrable counterparts of the D-Kaup-Newell soliton hierarchy
Two integrable counterparts of the D-Kaup–Newell soliton hierarchy are constructed from a matrix spectral problem associated with the three dimensional special orthogonal Lie algebra soð3;RÞ. An application of the trace identity presents Hamiltonian or quasiHamiltonian structures of the resulting counterpart soliton hierarchies, thereby showing their Liouville integrability, i.e., the existence...
متن کاملA Super-Integrable Hierarchy and Its Super-Hamiltonian Structure
It has been an important and interesting topic in soliton theory for searching for new Lax integrable or Liouville integrable systems as many as possible such that they are associated with certain evolution equations with physical meaning. The simple and efficient method to obtain continuous or discrete integrable systems was proposed Tu. Ma developed it and called it Tu scheme. By taking advan...
متن کاملIntegrable couplings and matrix loop algebras
Wewill discuss how to generate integrable couplings from zero curvature equations associated with matrix spectral problems. The key elements are matrix loop algebras consisting of block matrices with blocks of the same size or different sizes. Hamiltonian structures are furnished by applying the variational identity defined over semi-direct sums of Lie algebras. Illustrative examples include in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011