Zobrazeno 1 - 10
of 172
pro vyhledávání: '"Rubtsov, Vladimir"'
We consider the generating function $\Phi^{(N)}$ for the reciprocals $N$-th power of factorials. We show a connection of product formulas for such series with the periods for certain families of algebraic hypersurfaces. For these families we describe
Externí odkaz:
http://arxiv.org/abs/2405.03015
We have derived a non-abelian analog for the two-dimensional discrete Toda lattice which possesses solutions in terms of quasideterminants and admits Lax pairs of different forms. Its connection with non-abelian analogs for several well-known (1+1) a
Externí odkaz:
http://arxiv.org/abs/2311.11124
Publikováno v:
Nonlinearity 37 (2024) 045012
We introduce a new approach to Monge-Ampere geometry based on techniques from higher symplectic geometry. Our work is motivated by the application of Monge-Ampere geometry to the Poisson equation for the pressure that arises for incompressible Navier
Externí odkaz:
http://arxiv.org/abs/2302.11604
We propose a definition of a diffiety based on the theory of Frolicher structures. As a consequence, we obtain a natural Vinogradov sequence and, under the assumption of the existence of a suitable derivation, we can form on it a Kadomtsev-Petviashvi
Externí odkaz:
http://arxiv.org/abs/2212.07583
We study a fully noncommutative generalisation of the commutative fourth Painlev\'e equation that possesses solutions in terms of an infinite Toda system over an associative unital division ring equipped by a derivation.
Comment: The formula (54
Comment: The formula (54
Externí odkaz:
http://arxiv.org/abs/2205.05107
Publikováno v:
J. Math. Phys. 63, 093501 (2022)
We review the integration of the KP hierarchy in several non-standard contexts. Specifically, we consider KP in the following associative differential algebras: an algebra equipped with a nilpotent derivation; an algebra of functions equipped with a
Externí odkaz:
http://arxiv.org/abs/2203.07062
Publikováno v:
In Journal of Differential Equations 25 December 2024 413:805-827
Publikováno v:
In Physica D: Nonlinear Phenomena August 2024 464
In this paper we study the isomonodromic deformations of systems of differential equations with poles of any order on the Riemann sphere as Hamiltonian flows on the product of co-adjoint orbits of the Takiff algebra (i.e. truncated current algebra).
Externí odkaz:
http://arxiv.org/abs/2106.13760
On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators
Autor:
Magnot, Jean-Pierre, Rubtsov, Vladimir
We study the existence and uniqueness of the Kadomtsev-Petviashvili (KP) hierarchy solutions in the algebra of $\F Cl(S^1,\K^n)$ of formal classical pseudo-differential operators. The classical algebra $\Psi DO(S^1,\K^n)$ where the KP hierarchy is we
Externí odkaz:
http://arxiv.org/abs/2101.04523