Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation Y Rybalko, D Shepelsky
Journal of Mathematical Physics 60 (3), 2019
72 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
42 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
33 2021 Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation Y Rybalko, D Shepelsky
Studies in Applied Mathematics, 2021
15 2021 Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation Y Rybalko, D Shepelsky
Physica D: Nonlinear Phenomena 428, 133060, 2021
10 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
9 2020 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 Global conservative solutions of the nonlocal NLS equation beyond blow-up Y Rybalko, D Shepelsky
arXiv preprint arXiv:2209.11261, 2022
4 2022 Corrigendum: Acyclic sum-list-colouring of grids and other classes of graphs (Opuscula Mathematica (2017) 37: 4 (535–556 Y Rybalko
Opuscula Mathematica 38 (6), 899-901, 2018
2 2018 On the well-posedness of the Cauchy problem for the two-component peakon system in KH Karlsen, Y Rybalko
Zeitschrift für angewandte Mathematik und Physik 75 (3), 113, 2024
1 2024 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
1 2024 H\" older continuity of functions in the fractional Sobolev spaces: 1-dimensional case Y Rybalko
arXiv preprint arXiv:2308.06048, 2023
1 2023 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
1 2022 The integrable nonlocal nonlinear Schr\" odinger equation with oscillatory boundary conditions: long-time asymptotics Y Rybalko, D Shepelsky, SF Tian
arXiv preprint arXiv:2502.03027, 2025
2025 Global semigroup of conservative weak solutions of the two-component Novikov equation KH Karlsen, Y Rybalko
arXiv preprint arXiv:2501.01504, 2025
2025 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 
Dmitry ShepelskyB.Verkin Institute for Low Temperature Physics and Engineering of the NAS of UkraineEmail được xác minh tại ilt.kharkov.ua
