sigma07-047. 223KB Jun 04 2011 12:10:02 AM
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In order to relate the system to the KP trigonometric solitons introduced in Definition 1 , we need the following lemma which can be extracted from Ruijsenaars [ 16 ], and was
Key words: alternating sign matrices; Young tableaux; staircases; Schubert polynomials; integrable systems.. 2000 Mathematics Subject Classification:
a series of quantum integrable systems, including some new models like two-mode q -bosonic model leading to a coupled two-component derivative NLS model, wide range of q
In the case of isospectral Lax equations, such as the Mumford system, this procedure should lead to a Hamiltonian form of equations of motion for the spectral Darboux
At a time when activity in the study of elliptic functions was most intense, Halphen, Hermite and Lam´e (among many others) obtained deep results in the spectral theory of lin-
In the particular case when the Lie algebroid is the tangent bundle of a symplectic manifold, our reduction procedure is just the well known Cartan symplectic reduction in the
We construct flip morphisms and the corresponding mapping class group transformations and find that in the bordered surfaces case we can enlarge this group allowing transformations
On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations,
