Zobrazeno 1 - 10
of 457
pro vyhledávání: '"Prykarpatsky A."'
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 2, Iss 1, Pp 96-108 (2010)
The differential-algebraic approach to studying the Lax type integrability of generalized Riemann type equations is devised. The differentiations and the associated invariant differential ideals are analyzed in detail. The approach is also applied to
Externí odkaz:
https://doaj.org/article/09493bf928bf47fe8c76fce4d1e9bd80
Publikováno v:
Open Mathematics, Vol 5, Iss 1, Pp 84-104 (2007)
Externí odkaz:
https://doaj.org/article/c7001793db674c60bed8cfef93af3aed
Publikováno v:
SIGMA 15 (2019), 079, 20 pages
Using diffeomorphism group vector fields on $\mathbb{C}$-multiplied tori and the related Lie-algebraic structures, we study multi-dimensional dispersionless integrable systems that describe conformal structure generating equations of mathematical phy
Externí odkaz:
http://arxiv.org/abs/1902.08111
The work is devoted to constructing a wide class of differential-functional dynamical systems, whose rich algebraic structure makes their integrability analytically effective. In particular, there is analyzed in detail the operator Lax type equations
Externí odkaz:
http://arxiv.org/abs/1707.03015
There are investigated the Lie algebraic structure and integrability properties of a very interesting class of nonlinear dynamical systems called the heavenly equations, which were initiated by Pleba\'nski and later analyzed in a series of articles.
Externí odkaz:
http://arxiv.org/abs/1612.07760
Invariant ergodic measures for generalized Boole type transformations are studied using an invariant quasi-measure generating function approach based on special solutions to the Frobenius--Perron operator. New two-dimensional Boole type transformatio
Externí odkaz:
http://arxiv.org/abs/1210.1746
The complete integrability of a generalized Riemann type hydrodynamic system is studied by means of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, Lax type representation and related infinite hiera
Externí odkaz:
http://arxiv.org/abs/1204.0251
A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic hierarchy is revisited, its new Lax type representation and Poisson structures constructed in exact form. The related bi-Hamiltonian
Externí odkaz:
http://arxiv.org/abs/1108.0878
An approach based on the spectral and Lie - algebraic techniques for constructing vertex operator representation for solutions to a Riemann type Gurevicz-Zybin hydrodynamical hierarchy is devised. A functional representation generating an infinite hi
Externí odkaz:
http://arxiv.org/abs/1105.4403
Autor:
Prykarpatsky, Yarema A., Bogolubov Jr, Nikolai N., Prykarpatsky, Anatoliy K., Samoylenko, Valeriy H.
A gradient-holonomic approach for the Lax type integrability analysis of differentialdiscrete dynamical systems is devised. The asymptotical solutions to the related Lax equation are studied, the related gradient identity is stated. The integrability
Externí odkaz:
http://arxiv.org/abs/1010.2531