Zobrazeno 1 - 10
of 13
pro vyhledávání: '"V. V. Tsegel'nik"'
Autor:
V. V. Tsegel'nik
Publikováno v:
Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki, Vol 0, Iss 2, Pp 169-176 (2019)
The results concerning the construction and research of analytic properties of solutions to nonlinear (ordinary and partial) differential equations and systems of special type are presented.
Externí odkaz:
https://doaj.org/article/cea9652b999d4a27aac2b09d0749b690
Autor:
V. V. Tsegel’nik
Publikováno v:
Theoretical and Mathematical Physics. 206:315-320
We consider a Hamiltonian system equivalent to the Painleve II equation with respect to one component and to the Painleve XXXIV equation with respect to another. We obtain two Backlund transformations (direct and inverse) of solutions of the Painleve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1db0f06979aeaf54143ef37f8de8ba1
https://doi.org/10.1134/s0040577921030041
https://doi.org/10.1134/s0040577921030041
Autor:
V. V. Tsegel’nik
Publikováno v:
Theoretical and Mathematical Physics. 162:57-62
We obtain a Painleve-type differential equation for the simplest rational Hamiltonian associated with the fifth Painleve equation in the case γ ≠ 0, δ = 0. We prove the existence of Hamiltonians of a nonrational type associated with the fifth Pai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e587ed9500ce7ad6c362483066a0fb5
https://doi.org/10.1007/s11232-010-0003-9
https://doi.org/10.1007/s11232-010-0003-9
Autor:
V. V. Tsegel’nik
Publikováno v:
Theoretical and Mathematical Physics. 151:482-491
We obtain the formula determining the general form of polynomial Hamiltonians associated with the sixth Painleve equation and prove its uniqueness. We prove the existence of nonpolynomial Hamiltonians associated with this equation. We identify the Ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::508f784d9c2600e0e3acaa05cb2a531d
https://doi.org/10.1007/s11232-007-0036-x
https://doi.org/10.1007/s11232-007-0036-x
Autor:
V. V. Tsegel’nik
Publikováno v:
Journal of Physics: Conference Series. 937:012055
The singular analysis was performed for solutions of one class of third-order nonlinear dynamical systems with no chaotic behaviour. It is established that all systems of the given class (except one) are not the systems of Painleve-type.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20b534c29f78b8391d7cce9dbe8f5d4c
https://doi.org/10.1088/1742-6596/937/1/012055
https://doi.org/10.1088/1742-6596/937/1/012055
Autor:
V. V. Tsegel’nik
Publikováno v:
Journal of Physics: Conference Series. 788:012035
The Painleve-analysis was performed for solutions of nonlinear third-order autonomous system of differential equations with quadratic nonlinearities on their right-hand sides. At certain values of two constant parameters incorporated into the system,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c45f4e07bb3224e579da7838d3530046
https://doi.org/10.1088/1742-6596/788/1/012035
https://doi.org/10.1088/1742-6596/788/1/012035
Autor:
B. Fuchssteiner, V. V. Tsegel'nik
Publikováno v:
Theoretical and Mathematical Physics. 105:1354-1358
Certain analytical properties of self-similar solutions to a system of N partial differential equations, which is the generalized Liouville equation, are investigated.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adac015b2e2008e77e51094150728411
https://doi.org/10.1007/bf02070931
https://doi.org/10.1007/bf02070931
Autor:
V. V. Tsegel’nik
Publikováno v:
Differential Equations. 36:480-482
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b3b26ee2c8b3aa8fc3b583f4b5f5312
https://doi.org/10.1007/bf02754472
https://doi.org/10.1007/bf02754472
Autor:
V. V. Tsegel’nik
Publikováno v:
Theoretical and Mathematical Physics. 113:1439-1441
The Backlund transformation is constructed for a nonlinear ordinary differential equation (defining a polynomial Hamiltonian associated with the third Painleve equation for γ = 0 and αδ ≠ 0). The nonlinear functional relationship is derived for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60ed3b2429a1575d64f4cb7bace7aac5
https://doi.org/10.1007/bf02634169
https://doi.org/10.1007/bf02634169
Autor:
V. V. Tsegel'nik
Publikováno v:
Theoretical and Mathematical Physics. 102:265-266
The direct and inverse Backlund transformations for the third Painleve equation in the case γδ≠O is used to obtain a nonlinear functional relationship connecting the solutions of this equation for different values of the parameters that occur in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f75c8b38826de731d2769c038452cb15
https://doi.org/10.1007/bf01017877
https://doi.org/10.1007/bf01017877