| Solutions to the Kaup–Broer system and its (2+ 1) dimensional integrable generalization via the dressing method PV Nabelek, VE Zakharov Physica D: Nonlinear Phenomena 409, 132478, 2020 | 28 | 2020 |
| A Riemann–Hilbert Problem Approach to Infinite Gap Hill's Operators and the Korteweg–de Vries Equation K TR McLaughlin, PV Nabelek International Mathematics Research Notices 2021 (2), 1288-1352, 2021 | 15 | 2021 |
| On symmetric primitive potentials P Nabelek, D Zakharov, V Zakharov Journal of Integrable Systems 4 (1), xyz006, 2019 | 13 | 2019 |
| Computation of large-genus solutions of the Korteweg–de Vries equation D Bilman, P Nabelek, T Trogdon Physica D: Nonlinear Phenomena 449, 133715, 2023 | 11 | 2023 |
| Algebro-geometric finite gap solutions to the Korteweg–de Vries equation as primitive solutions PV Nabelek Physica D: Nonlinear Phenomena 414, 132709, 2020 | 11 | 2020 |
| On solutions to the nonlocal -problem and (2+1) dimensional completely integrable systems PV Nabelek Letters in Mathematical Physics 111 (1), 16, 2021 | 8* | 2021 |
| Primitive solutions of the Korteweg–de Vries equation SA Dyachenko, P Nabelek, DV Zakharov, VE Zakharov Theoretical and Mathematical Physics 202 (3), 334-343, 2020 | 8 | 2020 |
| On periodic and finite genus solutions to the integrable Kaup–Broer system for capillary waves P Nabelek, A Arlen, T Fromcke Applied Numerical Mathematics 199, 123-135, 2024 | 2 | 2024 |
| Applications of Complex Variables to Spectral Theory and Completely Integrable Partial Differential Equations PV Nabelek The University of Arizona, 2018 | 2 | 2018 |
| Harmonic Maps and the Symplectic Category PV Nabelek, D Pickrell arXiv preprint arXiv:1404.2899, 2014 | 1 | 2014 |
| A Nonlinear Integrable Water-Wave System Model for Gravity and Surface-Tension Waves PV Nabelek, SC Yim International Conference on Offshore Mechanics and Arctic Engineering 87875 …, 2024 | | 2024 |
| Riemann-Hilbert Formulation and Solution of Nonlinear Shallow-Water Wave Equations: Nonlocal Dbar Problem as a Unified Approach to Computing Exact Solutions in the Time Domain P Nabelek, SC Yim International Conference on Offshore Mechanics and Arctic Engineering 86878 …, 2023 | | 2023 |
| A Riemann-Hilbert Problem Approach to Infinite Gap Hill's Operators and the Korteweg-de Vries Equation (vol 2021, pg 1288, 2021) KTR McLaughlin, PV Nabelek INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2021 (23), 18410-18410, 2021 | | 2021 |
| On solutions to the nonlocal partial derivative-problem and (2+ 1) dimensional completely integrable systems (vol 111, 16, 2021) PV Nabelek LETTERS IN MATHEMATICAL PHYSICS 111 (2), 2021 | | 2021 |
| Distributions Supported on Fractal Sets and Solutions to the Kadomtsev--Petviashvili Equation PV Nabelek arXiv preprint arXiv:2009.05864, 2020 | | 2020 |
| A WEAK TYPE ESTIMATE FOR BASES OF RECTANGLES IN R3 M AMBROSINO, P NABELEK | | 2011 |
