Підписатись
Yan Rybalko
Yan Rybalko
Researcher, B.Verkin Institute for Low Temperature Physics and Engineering
Підтверджена електронна адреса в ilt.kharkov.ua
Назва
Посилання
Посилання
Рік
Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
Y Rybalko, D Shepelsky
Journal of Mathematical Physics 60 (3), 2019
562019
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
312021
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
252021
Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
Y Rybalko, D Shepelsky
Studies in Applied Mathematics, 2021
92021
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
72020
Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation
Y Rybalko, D Shepelsky
Physica D: Nonlinear Phenomena 428, 133060, 2021
62021
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
52016
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
12024
H\" older continuity of functions in the fractional Sobolev spaces: 1-dimensional case
Y Rybalko
arXiv preprint arXiv:2308.06048, 2023
12023
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
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