Norwegian version of this page

Yan Rybalko

Image of Yan Rybalko
Email yanr@math.uio.no
Room 210
Username
Visiting address 47 Nauky Ave. Kharkiv 61103 Ukraine
Postal address Postboks 1053 Blindern 0316 Oslo

Research interests

Soliton and peakon nonlinear partial differential equations (PDEs) are in focus of my research. These equations model important natural phenomena in fluid and lattice dynamics, nonlinear optics, quantum field theory, etc. I study qualitative properties of the solutions of the soliton and peakon systems, where the long-time asymptotic behavior is of particular interest. Also I analyze the existence, uniqueness, continuity properties and the blow-up questions for these nonlinear PDEs.

The list of publications can be found here: https://orcid.org/0000-0001-5548-846X

Tags: Mathematics, Partial Differential Equations, Computational Mathematics

Publications

  • Rybalko, Yan (2026). Riemann–Hilbert approach for the nonlocal modified Korteweg–de Vries equation with a step-like oscillating background. Letters in Mathematical Physics. ISSN 0377-9017. 116(4). doi: 10.1007/s11005-026-02119-y. Full text in Research Archive
  • Rybalko, Yan; Shepelsky, Dmitry & Tian, Shou-Fu (2025). The integrable nonlocal nonlinear Schrödinger equation with oscillatory boundary conditions: Long-time asymptotics. Physica D : Non-linear phenomena. ISSN 0167-2789. 481. doi: 10.1016/j.physd.2025.134820. Full text in Research Archive
  • Karlsen, Kenneth Aksel Hvistendahl & Rybalko, Yan (2025). Global semigroup of conservative weak solutions of the two-component Novikov equation. Nonlinear Analysis: Real world applications. ISSN 1468-1218. 86. doi: 10.1016/j.nonrwa.2025.104393. Full text in Research Archive
  • Karlsen, Kenneth Aksel Hvistendahl & Rybalko, Yan (2024). On the well-posedness of the Cauchy problem for the two-component peakon system in Ck∩Wk,1. Zeitschrift für Angewandte Mathematik und Physik. ISSN 0044-2275. 75(3). doi: 10.1007/s00033-024-02246-3. Full text in Research Archive
  • Karlsen, Kenneth Aksel Hvistendahl & Rybalko, Yan (2024). On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system. Journal of Mathematical Analysis and Applications. ISSN 0022-247X. 529(1). doi: 10.1016/j.jmaa.2023.127601. Full text in Research Archive

View all works in NVA

Published Jan. 13, 2025 4:14 PM - Last modified Jan. 21, 2025 10:46 AM

Projects

Research groups