Dmitry Shepelsky

1.8k total citations
59 papers, 1.1k citations indexed

About

Dmitry Shepelsky is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Dmitry Shepelsky has authored 59 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Statistical and Nonlinear Physics, 26 papers in Mathematical Physics and 17 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Dmitry Shepelsky's work include Nonlinear Waves and Solitons (35 papers), Nonlinear Photonic Systems (27 papers) and Advanced Mathematical Physics Problems (16 papers). Dmitry Shepelsky is often cited by papers focused on Nonlinear Waves and Solitons (35 papers), Nonlinear Photonic Systems (27 papers) and Advanced Mathematical Physics Problems (16 papers). Dmitry Shepelsky collaborates with scholars based in Ukraine, France and United Kingdom. Dmitry Shepelsky's co-authors include Anne Boutet de Monvel, A. S. Fokas, Gerald Teschl, Aleksey Kostenko, Vladimir Kotlyarov, Jonatan Lenells, Jaroslaw E. Prilepsky, Alexander Its, Dongwoo Sheen and Morteza Kamalian-Kopae and has published in prestigious journals such as Optics Express, Communications in Mathematical Physics and Journal of Lightwave Technology.

In The Last Decade

Dmitry Shepelsky

57 papers receiving 1.0k citations

Peers

Dmitry Shepelsky

SNP

AMPO

A. D. Trubatch United States

Dionyssios Mantzavinos United States

M. Jaulent France

Kamruzzaman Khan Bangladesh

Vadim Zharnitsky United States

Akhtar Hussain Pakistan

M. S. Bruzón Spain

Shoufeng Shen China

Sergei Sakovich Belarus

Maasoomah Sadaf Pakistan

A. D. Trubatch United States

Dmitry Shepelsky

674 ×0.7

SNP

174 ×0.4

363 ×1.5

AMPO

94 ×0.5

54 ×0.3

Citations per year, relative to Dmitry Shepelsky Dmitry Shepelsky (= 1×) peers A. D. Trubatch

Countries citing papers authored by Dmitry Shepelsky

Since Specialization

Citations

This map shows the geographic impact of Dmitry Shepelsky's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dmitry Shepelsky with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dmitry Shepelsky more than expected).

Fields of papers citing papers by Dmitry Shepelsky

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dmitry Shepelsky. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dmitry Shepelsky. The network helps show where Dmitry Shepelsky may publish in the future.

Co-authorship network of co-authors of Dmitry Shepelsky

This figure shows the co-authorship network connecting the top 25 collaborators of Dmitry Shepelsky. A scholar is included among the top collaborators of Dmitry Shepelsky based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dmitry Shepelsky. Dmitry Shepelsky is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Monvel, Anne Boutet de, Jonatan Lenells, & Dmitry Shepelsky. (2025). The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone. Journal of Differential Equations. 429. 747–801. 2 indexed citations

Shepelsky, Dmitry, et al.. (2024). A Riemann–Hilbert approach to solution of the modified focusing complex short pulse equation. Frontiers in Applied Mathematics and Statistics. 10. 1 indexed citations

Prilepsky, Jaroslaw E., et al.. (2023). Fiber-optic communications based on finite-genus solutions to the NLS with a convolutional neural network receiver. IET conference proceedings.. 2023(34). 467–470.

Shepelsky, Dmitry, et al.. (2022). Global conservative solutions of the nonlocal NLS equation beyond blow-up. Discrete and Continuous Dynamical Systems. 43(2). 860–894. 2 indexed citations

Shepelsky, Dmitry, et al.. (2022). A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions. arXiv (Cornell University). 3 indexed citations

Shepelsky, Dmitry, et al.. (2021). Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation. Physica D Nonlinear Phenomena. 428. 133060–133060. 8 indexed citations

Kamalian-Kopae, Morteza, et al.. (2020). Full-Spectrum Periodic Nonlinear Fourier Transform Optical Communication Through Solving the Riemann-Hilbert Problem. Journal of Lightwave Technology. 38(14). 3602–3615. 8 indexed citations

Shepelsky, Dmitry, et al.. (2020). Defocusing Nonlocal Nonlinear Schrödinger Equation with Step-like Boundary Conditions: Long-time Behavior for Shifted Initial Data. arXiv (Cornell University). 16(4). 418–453. 4 indexed citations

Monvel, Anne Boutet de, Jonatan Lenells, & Dmitry Shepelsky. (2019). Long-time asymptotics for the Degasperis–Procesi equation on the half-line. Annales de l’institut Fourier. 69(1). 171–230. 38 indexed citations

10.

Kamalian-Kopae, Morteza, et al.. (2018). Signal Modulation and Processing in Nonlinear Fibre Channels by Employing the Riemann–Hilbert Problem. Journal of Lightwave Technology. 36(24). 5714–5727. 11 indexed citations

11.

Monvel, Anne Boutet de & Dmitry Shepelsky. (2014). The Ostrovsky–Vakhnenko equation: A Riemann–Hilbert approach. French digital mathematics library (Numdam). 9 indexed citations

12.

Pastur, L. А., et al.. (2014). Spectral Theory and Differential Equations. 5 indexed citations

13.

Monvel, Anne Boutet de, Vladimir Kotlyarov, & Dmitry Shepelsky. (2010). Focusing NLS Equation: Long-Time Dynamics of Step-Like Initial Data. International Mathematics Research Notices. 41 indexed citations

14.

Monvel, Anne Boutet de, Vladimir Kotlyarov, Dmitry Shepelsky, & Chunxiong Zheng. (2010). Initial boundary value problems for integrable systems: towards the long time asymptotics. Nonlinearity. 23(10). 2483–2499. 16 indexed citations

15.

Monvel, Anne Boutet de & Dmitry Shepelsky. (2010). The Camassa–Holm equation on the half-line with linearizable boundary condition. Comptes Rendus Mathématique. 348(13-14). 775–780. 1 indexed citations

16.

Monvel, Anne Boutet de & Dmitry Shepelsky. (2009). Long time asymptotics of the Camassa–Holm equation on the half-line. Annales de l’institut Fourier. 59(7). 3015–3056. 20 indexed citations

17.

Monvel, Anne Boutet de & Dmitry Shepelsky. (2006). Riemann–Hilbert approach for the Camassa–Holm equation on the line. Comptes Rendus Mathématique. 343(10). 627–632. 65 indexed citations

18.

Monvel, Anne Boutet de & Dmitry Shepelsky. (2004). Initial boundary value problem for the mKdV equation on a finite interval. Annales de l’institut Fourier. 54(5). 1477–1495. 34 indexed citations

19.

Monvel, Anne Boutet de & Dmitry Shepelsky. (2003). The modified KdV equation on a finite interval. Comptes Rendus Mathématique. 337(8). 517–522. 18 indexed citations

20.

Monvel, Anne Boutet de, A. S. Fokas, & Dmitry Shepelsky. (2003). Analysis of the Global Relation for the Nonlinear Schrödinger Equation on the Half-line. Letters in Mathematical Physics. 65(3). 199–212. 60 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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