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
20 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
12 * 2021 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 symmetric primitive potentials P Nabelek, D Zakharov, V Zakharov
Journal of Integrable Systems 4 (1), xyz006, 2019
11 2019 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 Computation of large-genus solutions of the Korteweg–de Vries equation D Bilman, P Nabelek, T Trogdon
Physica D: Nonlinear Phenomena 449, 133715, 2023
7 2023 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
7 2020 Applications of Complex Variables to Spectral Theory and Completely Integrable Partial Differential Equations PV Nabelek
The University of Arizona, 2018
3 2018 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
1 2024 Harmonic Maps and the Symplectic Category PV Nabelek, D Pickrell
arXiv preprint arXiv:1404.2899, 2014
1 2014 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 Riemann--Hilbert Problem Approach to Periodic Infinite Gap Hill's Operators and the Korteweg--de Vries Equation K TR McLaughlin, PV Nabelek
arXiv e-prints, arXiv: 1810.07818, 2018
2018 A WEAK TYPE ESTIMATE FOR BASES OF RECTANGLES IN R3 M AMBROSINO, P NABELEK
2011