Zobrazeno 1 - 10
of 28
pro vyhledávání: '"V. G. Samoilenko"'
Autor:
V. G. Samoilenko, V. V. Potorocha
Publikováno v:
Nonlinear Oscillations. 9:391-404
We study the problem of decomposition of degenerate singularly perturbed systems of differential equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4739a4b5e548ea595cf3bbd2b41dcb47
https://doi.org/10.1007/s11072-006-0052-z
https://doi.org/10.1007/s11072-006-0052-z
Autor:
V. G. Samoilenko
Publikováno v:
Ukrainian Mathematical Journal. 56:351-356
For systems in a magnetic field, we investigate the form sum of an infinite-dimensional energy operator perturbed by a potential. We also investigate changes in the spectrum of the energy operator in the case of its perturbation by a potential.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf1dfd9c00975a3ade9912e038dff564
https://doi.org/10.1023/b:ukma.0000036109.75718.19
https://doi.org/10.1023/b:ukma.0000036109.75718.19
Publikováno v:
Ukrainian Mathematical Journal. 53:249-258
We study infinite-dimensional Liouville–Lax integrable nonlinear dynamical systems. For these systems, we consider the problem of finding an appropriate set of initial conditions leading to typical solutions such as solitons and traveling waves. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b3f6603b4b8c996056bcb39b069de44
https://doi.org/10.1023/a:1010464903737
https://doi.org/10.1023/a:1010464903737
Autor:
Yu. M. Sidorenko, V. G. Samoilenko
Publikováno v:
Ukrainian Mathematical Journal. 50:287-301
We investigate integrable reductions in the Davey-Stewartson model and introduce the hierarchy of the matrix Burgers equations. By using the method of nonlocal reductions in linear problems associated with the hierarchy of the Davey-Stewartson-II equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fea33bbaa3f19ddf4f041a49c8369343
https://doi.org/10.1007/bf02513452
https://doi.org/10.1007/bf02513452
Autor:
V. G. Samoilenko, K. K. Elgondyev
Publikováno v:
Ukrainian Mathematical Journal. 49:156-164
We study periodic solutions of ordinary linear second-order differential equations with publsed influence at fixed and nonfixed times.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::203edfa674708a807f2122cb8a4a90d5
https://doi.org/10.1007/bf02486623
https://doi.org/10.1007/bf02486623
Autor:
V. G. Samoilenko
Publikováno v:
Ukrainian Mathematical Journal. 46:1145-1156
We study quasiinvariant deformations of invariant submanifolds of nonlinear Hamiltonian dynamical systems and their small perturbations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5404232a4d6d3f62e49dce9926ddd320
https://doi.org/10.1007/bf01056175
https://doi.org/10.1007/bf01056175
Autor:
V. G. Samoilenko
Publikováno v:
Ukrainian Mathematical Journal. 45:448-456
Some aspects of the application of differential geometry methods to the study of the integrability of non-linear dynamical systems given on infinite-dimensional functional manifolds are considered.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c309c3638d0ac9c7e2895423d0060a66
https://doi.org/10.1007/bf01061017
https://doi.org/10.1007/bf01061017
Autor:
V. G. Samoilenko, U. S. Suyarov
Publikováno v:
Ukrainian Mathematical Journal. 45:94-99
We establish the complete integrability of a nonlinear dynamical system associated with the hydrodynamic Navier-Stokes equations for the flow of an ideal two-dimensional liquid with a free surface over the horizontal bottom. We show that this dynamic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1578ddbcc3a6ec131c3f33951a11b99
https://doi.org/10.1007/bf01062042
https://doi.org/10.1007/bf01062042
Publikováno v:
Ukrainian Mathematical Journal. 44:41-58
Adiabatic invariants of nonlinear dynamical autonomous and nonautonomous type systems on symplectic manifolds, particularly existence criteria for these systems and methods of constructing them explicitly, are studied. A thorough analysis of the phen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0870fd6e3def44e10bd0c865acad4c5a
https://doi.org/10.1007/bf01062626
https://doi.org/10.1007/bf01062626
Publikováno v:
Ukrainian Mathematical Journal. 43:1157-1164
For the nonlinear dynamical system, associated with the inverse Korteweg-de Vries equation ut=v, vt=p, pt=ux + uv, one establishes complete integrability in the Liouville sense; in particular, one finds a Hamiltonian representation form, an infinite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f14e6f35e3e24dbb4b494e03a1d1d07
https://doi.org/10.1007/bf01089216
https://doi.org/10.1007/bf01089216