Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Odesskii, A. V"'
Autor:
Odesskii, A. V., Sokolov, V. V.
We consider 1+1 - dimensional non-homogeneous systems of hydrodynamic type that possess Lax representations with movable singularities. We present a construction, which provides a wide class of examples of such systems with arbitrary number of compon
Externí odkaz:
http://arxiv.org/abs/1206.5230
We study amplitudes of five-wave interactions for evolution Hamiltonian equations differ from the KdV equation by the form of dispersion law. We find that five-wave amplitude is canceled for all three known equations (KdV, Benjamin-Ono and equation o
Externí odkaz:
http://arxiv.org/abs/1204.2793
Hamiltonian systems of hydrodynamic type occur in a wide range of applications including fluid dynamics, the Whitham averaging procedure and the theory of Frobenius manifolds. In 1+1 dimensions, the requirement of the integrability of such systems by
Externí odkaz:
http://arxiv.org/abs/1007.3782
Autor:
Odesskii, A. V., Sokolov, V. V.
We review the role of Gibbons-Tsarev-type systems in classification of integrable multi-dimensional hydrodynamic-type systems. Our main observation is an universality of Gibbons-Tsarev-type systems. We also constract explicitly a wide class of 3-dime
Externí odkaz:
http://arxiv.org/abs/0906.3509
Classification of integrable Vlasov-type equations is reduced to a functional equation for a generating function. A general solution of this functional equation is found in terms of hypergeometric functions.
Comment: latex, 15 pages, to appear i
Comment: latex, 15 pages, to appear i
Externí odkaz:
http://arxiv.org/abs/0710.5655
Autor:
Ferapontov, E. V., Odesskii, A. V.
We investigate non-degenerate Lagrangians of the form $$ \int f(u_x, u_y, u_t) dx dy dt $$ such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})_t=0 $ are integrable by the method of hydrodynamic reductions. We de
Externí odkaz:
http://arxiv.org/abs/0707.3433
Autor:
Odesskii, A V, Sokolov, V V
Publikováno v:
J.Math.Phys. 47 (2006) 013506
For the direct sum of several copies of sl_n, a family of Lie brackets compatible with the initial one is constructed. The structure constants of these brackets are expressed in terms of theta-functions associated with an elliptic curve. The structur
Externí odkaz:
http://arxiv.org/abs/math/0506503
We consider irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model. In roots of unity the Baxter Q-operator can be represented as a trace of a tensor product of L-operators corres
Externí odkaz:
http://arxiv.org/abs/hep-th/0110126
Autor:
Odesskii, A. V., Feigin, B. L.
We introduce a functional realization of the Hamiltonian structure on the moduli space of P-bundles on the elliptic curve E. Here P is parabolic subgroup in SL_n. We also introduce a construction of the corresponding quantum algebras.
Comment: 2
Comment: 2
Externí odkaz:
http://arxiv.org/abs/math/9912037
Autor:
Odesskii, A. V., Feigin, B. L.
We quantize the coordinate ring of the moduli space of B-bundles on the elliptic curve. Here B is a Borel subgroup of some semisimple Lie group. We construct some representations of these algebras and study intertwining operators for these representa
Externí odkaz:
http://arxiv.org/abs/math/9812059