| Algebraic-analytic aspects of completely integrable dynamical systems and their perturbations, Kyiv, NAS AM Samoilenko, YA Prykarpatsky Inst. Mathem. Publisher 41, P. 237, 2002 | 41* | 2002 |
| Richtmyer–Meshkov instability in liquid metal flows: influence of cavitation and magnetic fields R Samulyak, Y Prykarpatskyy Mathematics and Computers in Simulation 65 (4-5), 431-446, 2004 | 33 | 2004 |
| 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 Opuscula Mathematica 24 (1), 71-83, 2004 | 30 | 2004 |
| The multidimensional Delsarte transmutation operators, their differential-geometric structure and applications, Part1 AK Prykarpatsky, AM Samoilenko, YA Prykarpatsky Opuscula Mathematica 23, 71-80, 2003 | 26 | 2003 |
| Pfeiffer-Sato solutions of Buhl’s problem and a Lagrange-d’Alembert principle for heavenly equations OE Hentosh, YA Prykarpatsky, D Blackmore, A Prykarpatski Nonlinear Systems and Their Remarkable Mathematical Structures 1, 187-232, 2018 | 24* | 2018 |
| 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 |
| The structure of Darboux-type binary transformations and their applications in soliton theory AM Samoilenko, YA Prykarpatsky, VG Samoylenko Ukr. Mat. Zhurnal 55 (12), 1704-1723, 2003 | 21 | 2003 |
| The integrability of Lie-invariant geometric objects generated by ideals in the Grassmann algebra DL Blackmore, YA Prykarpatsky, RV Samulyak Journal of Nonlinear Mathematical Physics 5 (1), 54-67, 1998 | 21 | 1998 |
| Differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann hierarchy revisited YA Prykarpatsky, OD Artemovych, MV Pavlov, AK Prykarpatsky Journal of mathematical physics 53 (10), 2012 | 20 | 2012 |
| The spectral and differential geometric aspects of a generalized de Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to … AM Samoilenko, YA Prykarpatsky, AK Prykarpatsky Nonlinear Analysis: Theory, Methods & Applications 65 (2), 395-432, 2006 | 18 | 2006 |
| Integrability of and differential–algebraic structures for spatially 1D hydrodynamical systems of Riemann type D Blackmore, YA Prykarpatsky, NN Bogolubov Jr, AK Prykarpatski Chaos, Solitons & Fractals 59, 59-81, 2014 | 17 | 2014 |
| A geometrical approach to quantum holonomic computing algorithms AM Samoilenko, YA Prykarpatsky, U Taneri, AK Prykarpatsky, ... Mathematics and Computers in Simulation 66 (1), 1-20, 2004 | 15 | 2004 |
| Comparison of heterogeneous and homogenized numerical models of cavitation R Samulyak, Y Prykarpatskyy, T Lu, J Glimm, Z Xu, MN Kim International Journal for Multiscale Computational Engineering 4 (3), 2006 | 12 | 2006 |
| Finite dimensional local and nonlocal reductions of one type of hydrodynamic systems Y Prykarpatsky Reports on Mathematical Physics 50 (3), 349-360, 2002 | 12 | 2002 |
| The Lax–Sato integrable heavenly equations on functional supermanifolds and their Lie-algebraic structure O Hentosh, Y Prykarpatsky European Journal of Mathematics 6, 232-247, 2020 | 11 | 2020 |
| Structure of binary transformations of Darboux type and their application to soliton theory YA Prykarpats' kyi, AM Samoilenko, VH Samoilenko Ukrainian Mathematical Journal 55 (12), 2041-2059, 2003 | 10 | 2003 |
| Structure of Binary Transformations of Darboux Type and Their Application to Soliton Theory YA Prykarpats' kyi, AM Samoilenko, VH Samoilenko Ukrainian Mathematical Journal 55 (12), 2041-2059, 2003 | 10 | 2003 |
| Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole type transformations AKP D Blackmore, J Golenia, YA Prykarpatsky Ukrainian Mathematical Journal 65 (1), 47-63, 2013 | 9* | 2013 |
| The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications YA Prykarpatsky, AM Samoilenko, AK Prykarpatsky Reports on Mathematical Physics 55 (3), 351-370, 2005 | 9 | 2005 |
Anatoly M. SamoilenkoProfessor of Mathematics, Academician NAS of Ukraine, Institute of Mathematics of NAS of UkraineVerified email at imath.kiev.ua
