Multi-Hamiltonian Structures on Beauville’s Integrable System and Its Variant
نویسندگان
چکیده
We study Beauville’s completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.
منابع مشابه
Integrable Hamiltonian System on the Jacobian of a Spectral Curve — after Beauville
Abstract. Beauville [1] introduced an integrable Hamiltonian system whose general level set is isomorphic to the complement of the theta divisor in the Jacobian of the spectral curve. This can be regarded as a generalization of the Mumford system [7]. In this article, we construct a variant of Beauville’s system whose general level set is isomorphic to the complement of the intersection of the ...
متن کاملJacobian Variety and Integrable System — after Mumford, Beauville and Vanhaecke
Abstract. Beauville [6] introduced an integrable Hamiltonian system whose general level set is isomorphic to the complement of the theta divisor in the Jacobian of the spectral curve. This can be regarded as a generalization of the Mumford system [13]. In this article, we construct a variant of Beauville’s system whose general level set is isomorphic to the complement of the intersection of the...
متن کاملTwo-wavelet constants for square integrable representations of G/H
In this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. We establish the orthogonality relations fo...
متن کاملBäcklund Transformations for Tri-hamiltonian Dual Structures of Multi-component Integrable Systems
In this paper, the Bäcklund transformation based-approach is explored to obtain Hamiltonian operators of multi-component integrable systems which are governed by a compatible tri-Hamiltonian dual structures. The resulting Hamiltonian operators are used not only to derive multi-component biHamiltonian integrable hierarchies and their dual integrable versions, but also to serve as a criterion to ...
متن کاملA finite-dimensional integrable system associated with a polynomial eigenvalue problem
M. Antonowicz and A. P. Fordy (1988) introduced the second-order polynomial eigenvalue problem Lφ = (∂2 +∑i=1 viλ)φ = αφ (∂ = ∂/∂x, α = constant) and discussed its multi-Hamiltonian structures. For n= 1 and n= 2, the associated finite-dimensional integrable Hamiltonian systems (FDIHS) have been discussed by Xu and Mu (1990) using the nonlinearization method and Bargmann constraints. In this pap...
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 2006