Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation Y Rybalko, D Shepelsky Journal of Mathematical Physics 60 (3), 2019 | 56 | 2019 |
Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data Y Rybalko, D Shepelsky Journal of Differential Equations 270, 694-724, 2021 | 31 | 2021 |
Long-time asymptotics for the integrable nonlocal focusing nonlinear Schrödinger equation for a family of step-like initial data Y Rybalko, D Shepelsky Communications in Mathematical Physics 382, 87-121, 2021 | 26 | 2021 |
Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation Y Rybalko, D Shepelsky Studies in Applied Mathematics, 2021 | 9 | 2021 |
Defocusing nonlocal nonlinear Schr\" odinger equation with step-like boundary conditions: long-time behavior for shifted initial data Y Rybalko, D Shepelsky arXiv preprint arXiv:2011.02300, 2020 | 7 | 2020 |
Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation Y Rybalko, D Shepelsky Physica D: Nonlinear Phenomena 428, 133060, 2021 | 6 | 2021 |
Initial value problem for the time-dependent linear Schr\" odinger equation with a point singular potential by the uniform transform method Y Rybalko arXiv preprint arXiv:1601.08008, 2016 | 5 | 2016 |
On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system KH Karlsen, Y Rybalko Journal of Mathematical Analysis and Applications 529 (1), 127601, 2024 | 2 | 2024 |
H\" older continuity of functions in the fractional Sobolev spaces: 1-dimensional case Y Rybalko arXiv preprint arXiv:2308.06048, 2023 | 1 | 2023 |
Global conservative solutions of the nonlocal NLS equation beyond blow-up Y Rybalko, D Shepelsky arXiv preprint arXiv:2209.11261, 2022 | | 2022 |
Focusing Nonlocal Nonlinear Schrödinger Equation with Asymmetric Boundary Conditions: Large-Time Behavior AB Monvel, Y Rybalko, D Shepelsky Toeplitz Operators and Random Matrices: In Memory of Harold Widom, 193-227, 2022 | | 2022 |
Focusing nonlocal nonlinear Schrödinger equation with asymmetric boundary conditions: large-time behavior A Boutet de Monvel, Y Rybalko, D Shepelsky arXiv e-prints, arXiv: 2202.13327, 2022 | | 2022 |
Long-time asymptotics for the integrable nonlocal nonlinear Schr\" odinger equation with step-like initial data Y Rybalko, D Shepelsky arXiv preprint arXiv:1906.08489, 2019 | | 2019 |