Andrei Polyanin
Impact in
- Statistical and Nonlinear Physics top 0.5%
- Nonlinear Waves and Solitons
- Numerical Analysis top 1%
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
Papers in
-
- Differential Equations and Boundary Problems 72
- Nonlinear Differential Equations Analysis 26
- Navier-Stokes equation solutions 18
-
- Nonlinear Waves and Solitons 80
- Co-authors
- Valentin F. Zaitsev (11 shared papers)Alexei I. Zhurov (43 shared papers)Alexander Vladimirovich Manzhirov (1 shared paper)S. N. Aristov (5 shared papers)Vladimir Evgen'evich Nazaikinskii (1 shared paper)Andrei V. Vyazmin (13 shared papers)William E. Schiesser (2 shared papers)Alexander Vasilievich Aksenov (7 shared papers)
- Journals
- International Journal of Non-Linear Mechanics (18 papers)Applied Mathematics Letters (10 papers)International Journal of Heat and Mass Transfer (10 papers)Communications in Nonlinear Science and Numerical Simulation (7 papers)Theoretical Foundations of Chemical Engineering (27 papers)
- Partner nations
- RussiaUnited KingdomMexico
In The Last Decade
Andrei Polyanin
176 papers receiving 4.8k citations
Andrei Polyanin's Hit Papers
Peers
Comparison fields: 5 of 127
- Statistical and Nonlinear Physics 1.4k
- Numerical Analysis 435
- Applied Mathematics 1.4k
- Modeling and Simulation 362
- Computational Mechanics 793
Countries citing papers authored by Andrei Polyanin
This map shows the geographic impact of Andrei Polyanin'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 Andrei Polyanin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Andrei Polyanin more than expected).
Fields of papers citing papers by Andrei Polyanin
This network shows the impact of papers produced by Andrei Polyanin. 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 Andrei Polyanin. The network helps show where Andrei Polyanin may publish in the future.
Co-authors
The 21 scholars most cited alongside Andrei Polyanin, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 210 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Handbook of Exact Solutions for Ordinary Differential Equations Hit paper breakdown → | 2002 | 736 |
| 2 | Handbook of Integral Equations Hit paper breakdown → | 1998 | 664 |
| 3 | Handbook of Nonlinear Partial Differential Equations Hit paper breakdown → | 2003 | 543 |
| 4 | 2001 | 338 | |
| 5 | Handbook of Nonlinear Partial Differential Equations Hit paper breakdown → | 2012 | 277 |
| 6 | 2006 | 247 | |
| 7 | Polyanin, A. D. and Zaitsev, V. F., Handbook of Nonlinear Partial Differential Equations , Chapman & Hall/CRC, Boca | 2004 | 187 |
| 8 | 2015 | 117 | |
| 9 | 2017 | 114 | |
| 10 | 2009 | 98 | |
| 11 | 2008 | 88 | |
| 12 | Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems | 2017 | 69 |
| 13 | 2013 | 63 | |
| 14 | 2007 | 45 | |
| 15 | 2001 | 40 | |
| 16 | 2013 | 40 | |
| 17 | 2013 | 40 | |
| 18 | 2014 | 40 | |
| 19 | 2021 | 40 | |
| 20 | 2013 | 33 |
About Andrei Polyanin
Andrei Polyanin is a scholar working on Applied Mathematics, Statistical and Nonlinear Physics, Computational Mechanics, Modeling and Simulation and Numerical Analysis, having authored 210 papers that have together received 5k indexed citations. Recurring topics across this work include Nonlinear Waves and Solitons (80 papers), Differential Equations and Boundary Problems (72 papers), Fluid dynamics and aerodynamics studies (41 papers), Nonlinear Differential Equations Analysis (26 papers), Particle Dynamics in Fluid Flows (21 papers), Mathematical and Computational Methods (20 papers), Navier-Stokes equation solutions (18 papers) and Differential Equations and Numerical Methods (16 papers). The work is most often cited by research in Statistical and Nonlinear Physics (1.4k citations), Numerical Analysis (435 citations), Applied Mathematics (1.4k citations), Modeling and Simulation (362 citations) and Computational Mechanics (793 citations). Andrei Polyanin has collaborated with scholars based in Russia, United Kingdom and Mexico. Frequent co-authors include Valentin F. Zaitsev, Alexei I. Zhurov, Alexander Vladimirovich Manzhirov, S. N. Aristov, Vladimir Evgen'evich Nazaikinskii, Andrei V. Vyazmin, William E. Schiesser, Alexander Vasilievich Aksenov, Yu. S. Ryazantsev and С. А. Лычев. Their work appears in journals such as International Journal of Non-Linear Mechanics, Applied Mathematics Letters, International Journal of Heat and Mass Transfer, Communications in Nonlinear Science and Numerical Simulation and Theoretical Foundations of Chemical Engineering.
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.