sigma07-112. 278KB Jun 04 2011 12:10:10 AM
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In this paper, at first we obtain the continuous N × N generalization of the CHSC through the reduction technique for Poisson–Nijenhuis manifolds, and exhibit some explicit,
To obtain our explicit analytic series representation for the reduced eigenfunctions of Calogero– Sutherland type models with polynomial eigenfunctions we use a construction
The third step is recovering of the potential U ( x, t, λ ) and respectively the solution of the nonlinear equation Q ( x, t ) at an arbitrary moment from the scattering data at
In the subsequent sections we apply the basic definition to the following partial differential equations and systems: nonlinear Poisson equations, p-Laplace equations,
Thus, we extended the Lie derivative approach to the study of Hamiltonian operators com- patible with a given Hamiltonian operator P from finite-dimensional Poisson structures [26,
Following Drinfel’d, we define the Yangian of the strange Lie superalgebra of Q n − 1 type and describe the current system of Yangian generators and defining relations, which is
applying the Gessel–Viennot path method with an additional involution and a deformation of paths, we obtain an expression by a positive sum over a set of tuples of paths, which
Furthermore, in the case of 1-dimensional (or co-dimension 1) integral flat chains, Federer [ 7 ] has shown that real and integral homological (or absolute) minimizing are the same.
