profesor zwyczajny
Faculty of Applied Mathematics WMS-krr
ORCID: 0000-0001-5124-5890
ResearcherID: brak
Scopus: 57210368048
System Informacyjny AGH (SkOs)
A current algebra approach to the equilibrium classical statistical mechanics and its applications / N. N. Bogolubov, A. P. PRYKARPATSKY // Condensed Matter Physics ; ISSN 1607-324X. — 2013 vol. 16 no. 2, s. 23702-1–-23702-13. — Bibliogr. s. 23702-12-–23702-13. — A. K. Prykarpatsky - dodatkowa afiliacja: Ivan Franko State Pedagogical University, Drohobych, Ukraine. — tekst: http://www.icmp.lviv.ua/journal/zbirnyk.74/23702/art23702.pdf
keywords: current algebra, Bogolubov generating functional, collective variables representation, Hamiltonian operator reconstruction
cyfrowy identyfikator dokumentu: 10.5488/CMP.16.23702
A new exactly solvable spatially one-dimensional quantum superradiance fermi-medium model and its quantum solitonic states / D. Blackmore, A. P. PRYKARPATSKY // Condensed Matter Physics ; ISSN 1607-324X. — 2013 vol. 16 no. 2, s. 23701-1–23701-9. — Bibliogr. s. 23701-8–-23701-9. — A. K. Prykarpatsky - dodatkowa afiliacja: Ivan Franko State Pedagogical University, Drohobych, Ukraine. — tekst: http://www.icmp.lviv.ua/journal/zbirnyk.74/23701/art23701.pdf
keywords: charged fermionic medium, quantum superradiance model, Bethe eigenstates, quantum solitons, renormalization, quantum inverse spectral problem, Yang-Baxter identity, conservation laws
cyfrowy identyfikator dokumentu: 10.5488/CMP.16.23701
A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation / Yarema A. Prykarpatsky, Denis Blackmore, Jolanta GOLENIA, Anatolij K. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2013 vol. 33 no. 1, s. 139–149. — Bibliogr. s. 147–148, Abstr.. — tekst: http://journals.bg.agh.edu.pl/OPUSCULA/2013.33.1/OpMath.2013.33.1.139.pdf
keywords: Lax type integrability, vertex operator representation, Lax integrability, lie algebraic approach
Zobacz pełny wykaz publikacji Autora/Autorów: Jolanta Golenia
cyfrowy identyfikator dokumentu: 10.7494/OpMath.2013.33.1.139
Hidden symmetries of lax integrable nonlinear systems / Denis Blackmore, Yarema Prykarpatsky, Jolanta GOLENIA, Anatoli PRYKARPATSKY // Applied Mathematics ; ISSN 2152-7385. — 2013 vol. 4 no. 10C spec. iss. on Advances in mathematical physics, s. 95–116. — Bibliogr. s. 114–116, Abstr.. — tekst: http://www.scirp.org/journal/PaperDownload.aspx?paperID=38417
keywords: Lax integrability, lie algebraic approach, differential algebraic methods, gradient holonomic algorithm, Marsden-Weinstein reduction method, R-Matrix structure, symplectic structures, compatible poissonian structures, lax representation, poissonian manifold
cyfrowy identyfikator dokumentu: 10.4236/am.2013.410A3013
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations / D. Blackmore, J. GOLENIA, A. K. PRYKARPATSKY, Ya. A. Prykarpatsky // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2013 t. 65 no. 1, s. 44–57. — Bibliogr. s. 57. — Afiliacja J. Golenia: Univ. Sci. and Technology, Krakow; A. K. Prykarpatsky: Univ. Sci. and Technology, Krakow and Ivan Franko Ped. State Univ.; w bazie Web of Science zakres stron: 47–63
brak zdefiniowanych słów kluczowych
cyfrowy identyfikator dokumentu: 10.1007/s11253-013-0764-z
Mathematical foundations of the classical Maxwell-Lorentz electrodynamic models in the canonical Lagrangian and Hamiltonian formalisms / Denis Blackmore, Anatolij K. PRYKARPATSKI, Nikolai N. Bogolubov (Jr.), Jan J. Sławianowski // Universal Journal of Physics and Application ; ISSN 2331-6535. — 2013 vol. 1 no. 2, s. 160–178. — Bibliogr. s. 176–178, Abstr.
keywords: least action principle, vacuum field theory, Lorentz force problem, Feynman approach, Maxwell equations, Lorentz constraint, electron radiation theory, Lagrangian and Hamiltonian formalism
cyfrowy identyfikator dokumentu:
New vortex invariants in magneto-hydrodynamics and a related helicity theorem / Anatolij K. PRYKARPATSKY, Denis Blackmore // CMSIM : Chaotic Modeling and Simulation : an international journal in nonlinear science ; ISSN 2241-0503. — 2013 iss. 1 January, s. 239–245. — Bibliogr. s. 244–245. — Dod. afilaicja A. Prykarpatsky: The Ivano Franko State Pedagogical University
The differential-algebraic analysis of symplectic and Lax structures related with new Riemann-type hydrodynamic systems / Yarema A. Prykarpatsky, Orest D. Artemovych, Maxim V. Pavlov, Anatolij K. PRYKARPATSKI // Reports on Mathematical Physics ; ISSN 0034-4877. — 2013 vol. 71 no. 3, s. 305–351. — Bibliogr. s. 349–351. — tekst: http://www.sciencedirect.com/science/article/pii/S003448771360035X/pdfft?md5=08283712ff1388dcdbcb40e80a9022de&pid=1-s2.0-S003448771360035X-main.pdf
keywords: Lax type integrability, differential algebraic methods, gradient holonomic algorithm, compatible Poisson structures, Lax type representation, generalized Ostrovsky-Vakhnenko equition, Degasperis-Processi equation
cyfrowy identyfikator dokumentu: 10.1016/S0034-4877(13)60035-X