Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Jolanta Golenia"'
Publikováno v:
Opuscula Mathematica, Vol 33, Iss 1, Pp 139-149 (2013)
An approach based on the spectral and Lie-algebraic techniques for constructing vertex operator representation for solutions to a Riemann type hydrodynamical hierarchy is devised. A functional representation generating an infinite hierarchy of disper
Externí odkaz:
https://doaj.org/article/fac6ce08cbd74600b72b31df257d18a5
Publikováno v:
Opuscula Mathematica, Vol 29, Iss 1, Pp 27-39 (2009)
The generalized Cartan-Monge type approach to the characteristics method is discussed from the geometric point of view. Its application to the classical one-dimensional linear heat equation \(u_t-u_{xx}=0\) is presented. It is shown that the correspo
Externí odkaz:
https://doaj.org/article/cdbadee82dbd45f9a2e0feaf4d566371
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 002 (2010)
Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm. The bi-Hamiltonicity and complete inte
Externí odkaz:
https://doaj.org/article/068f606cd446489e8be73a4ab9133762
Publikováno v:
Applied Mathematics. :95-116
Recently devised new symplectic and differential-algebraic approaches to studying hidden symmetry properties of nonlinear dynamical systems on functional manifolds and their relationships to Lax integrability are reviewed. A new symplectic approach t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57dfd4cbac6f5aa182ea6a53fdc48f38
https://doi.org/10.4236/am.2013.410a3013
https://doi.org/10.4236/am.2013.410a3013
Publikováno v:
Opuscula Mathematica, Vol 33, Iss 1, Pp 139-149 (2013)
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbf53761c4e109224afabc3579cec308
http://www.opuscula.agh.edu.pl/vol33/1/art/opuscula_math_3308.pdf
http://www.opuscula.agh.edu.pl/vol33/1/art/opuscula_math_3308.pdf
Publikováno v:
International Journal of Theoretical Physics. 47:2882-2897
Introductive backgrounds to a new mathematical physics discipline—Quantum Mathematics—are discussed and analyzed both from historical and from analytical points of view. The magic properties of the second quantization method, invented by V. Fock
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6548bf14b784257ff8e75d44f6670f9
https://doi.org/10.1007/s10773-008-9721-2
https://doi.org/10.1007/s10773-008-9721-2
Publikováno v:
International Journal of Theoretical Physics. 47:1919-1928
Symplectic and symmetry analysis for studying MHD superfluid flows is devised, a new version of the Z. Peradzynski (Int. J. Theor. Phys. 29(11):1277–1284, [1990]) helicity theorem based on differential-geometric and group-theoretical methods is der
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9e862e8526f8a71ff215a13d6197c8f
https://doi.org/10.1007/s10773-007-9636-3
https://doi.org/10.1007/s10773-007-9636-3
Publikováno v:
Open Mathematics, Vol 5, Iss 1, Pp 84-104 (2007)
The Hamiltonian representation for a hierarchy of Lax type equations on a dual space to the Lie algebra of integro-differential operators with matrix coefficients, extended by evolutions for eigenfunctions and adjoint eigenfunctions of the correspond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c90e902b35ef073f1fb063f184478f25
https://doaj.org/article/c7001793db674c60bed8cfef93af3aed
https://doaj.org/article/c7001793db674c60bed8cfef93af3aed
Autor:
Jolanta Golenia
Publikováno v:
Reports on Mathematical Physics. 55:341-349
Making use of well-known results [ [3] , [5] ]and newly discovered differential-geometric properties of adjoint pairs of differential Lax type operators [ [13] , [14] , [15] , [16] , [17] ] corresponding to Riccati-Abel equations, we construct novel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::257b52ee3a12c526cc5fb1570af37cdc
https://doi.org/10.1016/s0034-4877(05)80050-3
https://doi.org/10.1016/s0034-4877(05)80050-3
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 002 (2010)
Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm. The bi-Hamiltonicity and complete inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d2a794c2482759503272d2348083001
https://doi.org/10.3842/sigma.2010.002
https://doi.org/10.3842/sigma.2010.002