Anatolij Prykarpatski, Anatoliy K. Prykarpatsky, Anatolij Prykarpatskyi

Cited by

	All	Since 2019
Citations	1959	585
h-index	21	9
i10-index	58	8

140

105

19921993199419951996199719981999200020012002200320042005200620072008200920102011201220132014201520162017201820192020202120222023202413 2 16 6 8 14 14 8 12 19 22 65 64 67 78 23 88 90 46 125 93 74 73 100 115 127 95 83 81 138 114 70

Public access

View all

1 article

0 articles

available

not available

Based on funding mandates

Co-authors

Denis BlackmoreProfessor of Mathematical Sciences, New Jersey Institute of TechnologyVerified email at njit.edu
Valerii Samoilenko; V.H.Samoylenko;...Institute of Mathematics of National Academy of Sciences of UkraineVerified email at imath.kiev.ua
Anatoly M. SamoilenkoProfessor of Mathematics, Academician NAS of Ukraine, Institute of Mathematics of NAS of UkraineVerified email at imath.kiev.ua
Yarema PrykarpatskyyVerified email at imath.kiev.ua
Orest Artemovych (Орест Артемович)Cracow University of TechnologyVerified email at usk.pk.edu.pl
Mykola Prytula, М.М.Притула, Н.Н....професор кафедри дискретного аналізу та інтелектуальних систем, Львівський національний університетVerified email at lnu.edu.ua
Maxim V. Pavlov (Максим Валентино...Lebedev Physical Institute of Russian Academy of Sciences, MoscowVerified email at math.sinica.edu.tw
Ziemowit PopowiczInstitiute of Theoretical Physics University of Wroclaw PolandVerified email at ift.uni.wroc.pl
Petro Pukach (Петро Пукач)Professor at Lviv Polytechnic National University, UkraineVerified email at lpnu.ua
Kamal SoltanovEmeritus Professor Mathematics of IMM of Azerbaijan NASVerified email at hacettepe.edu.tr
Radosław KyciaCracow University of Technology, KrakówVerified email at pk.edu.pl
Emin ÖzçağHacettepe üniversitesiVerified email at hacettepe.edu.tr
Xiaoya JiangPhD Candidate at University of Wisconsin-MadisonVerified email at wisc.edu
Taras Banakh / Тарас БанахIvan Franko National University of LvivVerified email at lnu.edu.ua
Jan CieslinskiFaculty of Physics, University of Bialystok, PolandVerified email at uwb.edu.pl
Maciej BłaszakProfessor of mathematical physicsVerified email at amu.edu.pl
Victor Bovdi (В. А. Бовди)UAEU, United Arab EmiratesVerified email at uaeu.ac.ae
Юрій Борисович Зелінський Юрий Б...Professor of Mathematics, завідувач відділу комплексного аналізу, Інститут математики НАНУVerified email at imath.kiev.ua
Ilona Anna UrbaniakCracow University of TechnologyVerified email at pk.edu.pl
Іван Петрович Твердохліб (Ivan P. Tv...Ivan Franko National University of L’viv (Львівський національний університет імені Івана Франка)Verified email at lnu.edu.ua

Anatolij Prykarpatski, Anatoliy K. Prykarpatsky, Anatolij Prykarpatskyi

Other namesA.K. Prykarpatski

Department of Physics, Mathematics and Computer Science at the Ivan Franko Pedagogical

Verified email at cybergal.com - Homepage

mathematical theoretical physics


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Algebraic integrability of nonlinear dynamical systems on manifolds: classical and quantum aspects AK Prykarpatsky, IV Mykytiuk Springer Science & Business Media, 2013	227	2013
Nonlinear dynamical systems of mathematical physics: spectral and symplectic integrability analysis D Blackmore, AK Prykarpatsky, VH Samoylenko World Scientific, 2011	175	2011
Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg–de Vries hydrodynamical equations AK Prykarpatsky, OD Artemovych, Z Popowicz, MV Pavlov Journal of Physics A: Mathematical and Theoretical 43 (29), 295205, 2010	45	2010
Characterizing media content and effects of organ donation on a social media platform: content analysis X Jiang, W Jiang, J Cai, Q Su, Z Zhou, L He, K Lai Journal of medical Internet research 21 (3), e13058, 2019	41	2019
Algebraic aspects of integrability of nonlinear dynamical systems on manifolds AK Prykarpatsky, IV Mykytiuk Kyiv, Naukava Dumka, 1991	41	1991
On a nonlocal Ostrovsky-Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability J Golenia, MV Pavlov, Z Popowicz, AK Prykarpatsky SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6, 002, 2010	39	2010
The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations Z Popowicz, AK Prykarpatsky Nonlinearity 23 (10), 2517, 2010	34	2010
Algebraic-analytic aspects of completely integrable dynamical systems and their perturbations AM Samoilenko, YA Prykarpatsky Kyiv, NAS, Inst. Mathem. Publisher 41, 2002	33	2002
Algebraic structure of the gradient‐holonomic algorithm for Lax integrable nonlinear dynamical systems. I AK Prykarpatsky, VH Samoilenko, RI Andrushkiw, YO Mitropolsky, ... Journal of Mathematical Physics 35 (4), 1763-1777, 1994	32*	1994
Differential-geometric integrability fundamentals of nonlinear dynamical systems on functional menifolds.(The OY Hentosh, MM Prytula, AK Prykarpatsky Lviv: Lviv Univ. Publ, 2006	31	2006
Lie-algebraic structure of Lax–Sato integrable heavenly equations and the Lagrange–d’Alembert principle OE Hentosh, YA Prykarpatsky, D Blackmore, AK Prykarpatski Journal of Geometry and Physics 120, 208-227, 2017	30	2017
The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2 J Golenia, YA Prykarpatsky, AM Samoilenko, AK Prykarpatsky arXiv preprint math-ph/0404016, 2004	30	2004
Differential-geometric and Lie-algebraic foundations of investigating nonlinear dynamical systems on functional manifolds O Hentosh, M Prytula, A Prykarpatsky The Second edition. Lviv University Publ, 2006	29	2006
The gradient-holonomic integrability analysis of a Whitham-type nonlinear dynamical model for a relaxing medium with spatial memory AK Prykarpatsky, MM Prytula Nonlinearity 19 (9), 2115, 2006	28	2006
The multi-dimensional Delsarte transmutation operators, their differential-geometric structure and applications. Part. 1 AK Prykarpatsky, AM Samoilenko, YA Prykarpatsky Opuscula Mathematica 23, 71-80, 2003	26	2003
Quantum field theory with application to quantum nonlinear optics U Taneri World scientific, 2002	26	2002
The vacuum structure, special relativity theory and quantum mechanics revisited: A field theory-no-geometry approach NN Bogolubov Jr, AK Prykarpatsky, U Taneri arXiv preprint arXiv:0808.0871, 2008	23	2008
The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal, fiber bundles and some applications … YA Prykarpatsky, AM Samoilenko, AK Prykarpatsky Opuscula Mathematica 25 (2), 287-298, 2005	23	2005
Central extension approach to integrable field and lattice-field systems in (2+ 1)-dimensions M Błaszak, A Szum, A Prykarpatsky Reports on Mathematical Physics 44 (1-2), 37-44, 1999	23	1999
The Finite-Dimensional Moser Type Reduction of Modified Boussinesq and Super-Korteweg-de Vries Hamiltonian Systems via the Gradient-Holonomic Algorithm and Dual Moment Maps. Part I AK Prykarpatsky, OE Hentosh, DL Blackmore Journal of Nonlinear Mathematical Physics 4 (3), 455-469, 1997	22	1997

The system can't perform the operation now. Try again later.

Articles 1–20

Citations per year

Duplicate citations

Merged citations

Add co-authorsCo-authors

Follow

Cited by

Co-authors