Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Prokofev, V."'
Autor:
Prokofev, V., Zabrodin, A.
Some identities that involve the elliptic version of the Cauchy matrices are presented and proved. They include the determinant formula, the formula for the inverse matrix, the matrix product identity and the factorization formula.
Comment: 12 p
Comment: 12 p
Externí odkaz:
http://arxiv.org/abs/2305.02837
Autor:
Prokofev, V., Zabrodin, A.
We continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B) which can be regarded as a discretization of the BKP hierarchy. We introduce the tau-function of the B-Toda hierarchy and obtain the bilinear equations for
Externí odkaz:
http://arxiv.org/abs/2303.17467
Autor:
Prokofev, V., Zabrodin, A.
We study elliptic solutions of the recently introduced Toda lattice with the constraint of type B and derive equations of motion for their poles. The dynamics of poles is given by the deformed Ruijsenaars-Schneider system. We find its commutation rep
Externí odkaz:
http://arxiv.org/abs/2302.12085
Autor:
Prokofev, V., Zabrodin, A.
We consider solutions of the matrix KP hierarchy that are elliptic functions of the first hierarchical time $t_1=x$. It is known that poles $x_i$ and matrix residues at the poles $\rho_i^{\alpha \beta}=a_i^{\alpha}b_i^{\beta}$ of such solutions as fu
Externí odkaz:
http://arxiv.org/abs/2103.07357
Autor:
Prokofev, V., Zabrodin, A.
We consider solutions of the 2D Toda lattice hierarchy which are elliptic functions of the zeroth time t_0=x. It is known that their poles as functions of t_1 move as particles of the elliptic Ruijsenaars-Schneider model. The goal of this paper is to
Externí odkaz:
http://arxiv.org/abs/2103.00214
Autor:
Prokofev, V., Zabrodin, A.
We consider solutions of the KP hierarchy which are elliptic functions of $x=t_1$. It is known that their poles as functions of $t_2$ move as particles of the elliptic Calogero-Moser model. We extend this correspondence to the level of hierarchies an
Externí odkaz:
http://arxiv.org/abs/2102.03784
Autor:
Prokofev, V., Zabrodin, A.
We consider solutions of the matrix KP hierarchy that are trigonometric functions of the first hierarchical time $t_1=x$ and establish the correspondence with the spin generalization of the trigonometric Calogero-Moser system on the level of hierarch
Externí odkaz:
http://arxiv.org/abs/1910.00434
Autor:
Prokofev, V., Zabrodin, A.
We consider solutions of the 2D Toda lattice hierarchy which are trigonometric functions of the ``zeroth'' time $t_0=x$. It is known that their poles move as particles of the trigonometric Ruijsenaars-Schneider model. We extend this correspondence to
Externí odkaz:
http://arxiv.org/abs/1907.06621
Autor:
Prokofev, V. V.1,2 (AUTHOR), Zabrodin, A. V.1,2 (AUTHOR) zabrodin@itep.ru
Publikováno v:
Theoretical & Mathematical Physics. Nov2023, Vol. 217 Issue 2, p1673-1688. 16p.
We investigate the internal structure of the current sheet in the pulsar wind within force-free and two-fluid MHD approximations. Within the force-free approximation we obtain general asymptotic solution of the Grad-Shafranov equation for quasi-spher
Externí odkaz:
http://arxiv.org/abs/1711.00133