adiunkt
Wydział Matematyki Stosowanej WMS-krr, Katedra Równań Różniczkowych
ORCID: 0000-0002-3033-7419 połącz konto z ORCID
ResearcherID: U-8877-2017
Scopus: 6603328340
Finite dimensional local and nonlocal reductions of one type of hydrodynamic systems / Y. PRYKARPATSKY // Reports on Mathematical Physics ; ISSN 0034-4877. — 2002 vol. 50 no. 3, s. 349–360. — Bibliogr. s. 360. — Conference on Multi-hamiltonian structures - geometric and algebraic aspects : Bedlewo, Poland, August 09-17, 2001. — tekst: https://www-1sciencedirect-1com-10000272m0104.wbg2.bg.agh.edu.pl/science/article/pii/S0034487702800659/pdf?md5=8de20900c4930ad4fa9666a2bc2239e7&pid=1-s2.0-S0034487702800659-main.pdf
brak zdefiniowanych słów kluczowych
cyfrowy identyfikator dokumentu: 10.1016/S0034-4877(02)80065-9
The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications / Jarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatolij K. PRYKARPATSKY // Reports on Mathematical Physics ; ISSN 0034-4877. — 2005 vol. 55 no. 3, s. 351–370. — Bibliogr. s. 368–370. — Publikacja dostępna online od: 2005-11-16. — Y. A. Prykarpatsky - pierwsza afiliacja: Institute of Mathematics at the NAS, Kiev, Ukraine. — 36th Symposium on Mathematical Physics, Toruń, June 9-12, 2004. — tekst: https://www-1sciencedirect-1com-10000271y0585.wbg2.bg.agh.edu.pl/science/article/pii/S0034487705800515/pdf?md5=b9c93dd8e52a7dd91636ca640ad969ef&pid=1-s2.0-S0034487705800515-main.pdf
keywords: Dirac operator, soliton-like solutions, Laplace operator, operator pencils, Delsarte transmutation operators, Darboux transformations, de Rham-Hodge-Skrypnik differential complex
Zobacz pełny wykaz publikacji Autora/Autorów: Anatolij Prykarpatsky
cyfrowy identyfikator dokumentu: 10.1016/S0034-4877(05)80051-5
The Delsarte-Darboux type binary transformations, their differential-geometric and operator structure with applications, Pt. 1 / Jarema A. PRYKARPATSKY, Anatoliy M. Samoilenko // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2006 vol. 26 no. 1, s. 137–150. — Bibliogr. s. 148–149, Abstr.. — tekst: http://journals-1bg-1agh-1edu-1pl-1ftlf1rjl0ebc.wbg2.bg.agh.edu.pl/OPUSCULA/26-1/26-1-10.pdf
keywords: Delsarte transmutation operators, parametric functional spaces, Darboux transformations, inverse spectral transform problem, soliton equations, Zakharov-Shabat equations
cyfrowy identyfikator dokumentu:
The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory, Pt. 2 / J. GOLENIA, Y. A. PRYKARPATSKY, A. M. Samoilenko, A. K. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2004 R. 24 [no.] 1, s. 71–83. — Bibliogr. s. 82–83, Abstr.. — tekst: https://www.opuscula.agh.edu.pl/om-vol24iss1art6
keywords: Delsarte transmutation operators, parametric functional spaces, Darboux transformations, inverse spectral transform problem, soliton equations, Zakharov-Shabat equations, polynomial operator pencils
Zobacz pełny wykaz publikacji Autora/Autorów: Anatolij Prykarpatsky, Jolanta Golenia
The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension / Anatoliy Mykhaylovich Samoilenko, Yarema Anatoliyovych PRYKARPATSKY, Anatoliy Karolevych PRYKARPATSKY // Central European Journal of Mathematics ; ISSN 1895-1074. — 2005 vol. 3 no. 3, s. 529–557. — Bibliogr. s. 554–557, Abstr.. — tekst: https://link-1springer-1com-1nyztlj1y06b6.wbg2.bg.agh.edu.pl/content/pdf/10.2478%2FBF02475922.pdf
keywords: Delsarte transmutation operators, generalized de Rham-Hodge differential complex, parametric functional spaces, Darboux transformations, inverse spectral transform problem, soliton equations, Laplace and Dirac type operators, Zakharov-Shabat equations
The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications, Pt. 1 / Yarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatolij K. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2005 vol. 25 no. 2, s. 287–298. — Bibliogr. s. 296–297, Abstr.. — Y. A. Prykarpatsky - pierwsza afiliacja: The Institute of Mathematics, NAS, Kyiv, Ukraine. — tekst: http://journals-1bg-1agh-1edu-1pl-1ftlf1r1y06c9.wbg2.bg.agh.edu.pl/OPUSCULA/25-2/25-2-11.pdf
keywords: symplectic structures, Hamiltonian reduction, connections, principal fiber bundles, Yang–Mills type gauge fields
The multidimensional Delsarte transmutation operators, their differential-geometric structure and applications, Pt. 1 / Anatoliy K. PRYKARPATSKY, Anatoliy M. Samoilenko, Yarema A. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2003 R. 23, s. 71–80. — Bibliogr. s. 79–80, Abstr.. — tekst: https://www.opuscula.agh.edu.pl/vol23/1/23-1-07.pdf
keywords: Delsarte transmutation operators, Darboux transformations, inverse spectral transform problem
The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications, Pt. 2 / Jarema A. Prykarpatsky, Anatoliy M. Samoilenko // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2007 vol. 27 no. 1, s. 113–130. — Bibliogr. s. 127–130, Abstr.. — tekst: https://goo.gl/Lfn4mP
keywords: Delsarte transmutation operators, generalized de Rham-Hodge differential complex, Delsarte-Lions type transformations, Gelfand-Levitan-Marchenko type integral equations, mulktidimensional differential operator pencils