Zobrazeno 1 - 10
of 55
pro vyhledávání: '"PRYKARPATSKY, YAREMA"'
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
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
Autor:
Prykarpatsky, Yarema A.
The complete integrability of the Ostrovsky-Vakhnenko equation is studied by means of symplectic gradient-holonomic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, Lax type representation and related infinite
Externí odkaz:
http://arxiv.org/abs/1205.3415
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
Autor:
Prykarpatsky, Yarema A.1 (AUTHOR) yarpry@gmail.com, Urbaniak, Ilona2 (AUTHOR) ilona.urbaniak@pk.edu.pl, Kycia, Radosław A.2 (AUTHOR) kycia.radoslaw@gmail.com, Prykarpatski, Anatolij K.2 (AUTHOR) pryk.anat@cybergal.com
Publikováno v:
Algorithms. Aug2022, Vol. 15 Issue 8, pN.PAG-N.PAG. 21p.
A description of Lagrangian and Hamiltonian formalisms naturally arisen from the invariance structure of given nonlinear dynamical systems on the infinite--dimensional functional manifold is presented. The basic ideas used to formulate the canonical
Externí odkaz:
http://arxiv.org/abs/math/0406554
A differential geometrical and topological structure of Delsarte transmutation operators in multidimension is studied, the relationships with De Rham-Hodge-Skrypnik theory of generalized differential complexes is stated.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/math-ph/0403054