Andrei D. Polyanin

7.3k total citations · 4 hit papers
188 papers, 4.9k citations indexed

About

Andrei D. Polyanin is a scholar working on Numerical Analysis, Statistical and Nonlinear Physics and Computational Mechanics. According to data from OpenAlex, Andrei D. Polyanin has authored 188 papers receiving a total of 4.9k indexed citations (citations by other indexed papers that have themselves been cited), including 72 papers in Numerical Analysis, 51 papers in Statistical and Nonlinear Physics and 46 papers in Computational Mechanics. Recurrent topics in Andrei D. Polyanin's work include Differential Equations and Numerical Methods (54 papers), Nonlinear Waves and Solitons (45 papers) and Numerical methods for differential equations (44 papers). Andrei D. Polyanin is often cited by papers focused on Differential Equations and Numerical Methods (54 papers), Nonlinear Waves and Solitons (45 papers) and Numerical methods for differential equations (44 papers). Andrei D. Polyanin collaborates with scholars based in Russia, United Kingdom and Mexico. Andrei D. Polyanin's co-authors include Valentin F. Zaitsev, Alexei I. Zhurov, Alexander V. Manzhirov, A. V. Vyazmin, S. N. Aristov, В. Е. Назайкинский, William E. Schiesser, А. В. Аксенов, Yu. S. Ryazantsev and С. А. Лычев and has published in prestigious journals such as SHILAP Revista de lepidopterología, International Journal of Heat and Mass Transfer and Journal of Mathematical Analysis and Applications.

In The Last Decade

Andrei D. Polyanin

167 papers receiving 4.7k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Handbook of Exact Solutions for Ordinary Differential Equations

2002 688 citations Andrei D. Polyanin et al. profile →
Handbook of Integral Equations

1998 619 citations Andrei D. Polyanin profile →
Handbook of Nonlinear Partial Differential Equations

2003 522 citations Andrei D. Polyanin et al. profile →
Handbook of Nonlinear Partial Differential Equations

2012 265 citations Andrei D. Polyanin et al. profile →

Peers

Countries citing papers authored by Andrei D. Polyanin

Since Specialization

Citations

This map shows the geographic impact of Andrei D. 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 D. 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 D. Polyanin more than expected).

Fields of papers citing papers by Andrei D. Polyanin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Andrei D. 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 D. Polyanin. The network helps show where Andrei D. Polyanin may publish in the future.

Co-authorship network of co-authors of Andrei D. Polyanin

This figure shows the co-authorship network connecting the top 25 collaborators of Andrei D. Polyanin. A scholar is included among the top collaborators of Andrei D. Polyanin 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 Andrei D. Polyanin. Andrei D. Polyanin 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

#	Work	Indexed citations
1	Geophysical Monge–Ampère-Type Equation: Symmetries and Exact Solutions 2025 ·Mathematics ·Andrei D. Polyanin, А. В. Аксенов	0
2	Symmetries, Reductions and Exact Solutions of Nonstationary Monge–Ampère Type Equations 2025 ·Mathematics ·А. В. Аксенов, Andrei D. Polyanin	3
3	Closed-form solutions of the nonlinear Schrödinger equation with arbitrary dispersion and potential 2024 ·Chaos Solitons & Fractals ·Andrei D. Polyanin, Nikolay A. Kudryashov	5
4	Nonlinear Schrödinger Equations with Delay: Closed-Form and Generalized Separable Solutions 2024 ·Contemporary Mathematics ·Andrei D. Polyanin, Nikolay A. Kudryashov	4
5	Unsteady Magnetohydrodynamics PDE of Monge–Ampère Type: Symmetries, Closed-Form Solutions, and Reductions 2024 ·Mathematics ·Andrei D. Polyanin, А. В. Аксенов	6
6	Reductions and Exact Solutions of Nonlinear Wave-Type PDEs with Proportional and More Complex Delays 2023 ·Mathematics ·Andrei D. Polyanin, (unknown)	5
7	Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions 2021 ·Mathematics ·А. В. Аксенов, Andrei D. Polyanin	14
8	Separation of variables in PDEs using nonlinear transformations: Applications to reaction–diffusion type equations 2019 ·Applied Mathematics Letters ·Andrei D. Polyanin, Alexei I. Zhurov	20
9	The heat and mass transfer modeling with time delay 2017 ·SHILAP Revista de lepidopterología ·(unknown), A. V. Vyazmin, Alexei I. Zhurov, (unknown), Andrei D. Polyanin	3
10	Non-monotonic blow-up problems: Test problems with solutions in elementary functions, numerical integration based on non-local transformations 2017 ·Applied Mathematics Letters ·Andrei D. Polyanin, (unknown)	5
11	Parametrically defined nonlinear differential equations, differential–algebraic equations, and implicit ODEs: Transformations, general solutions, and integration methods 2016 ·Applied Mathematics Letters ·Andrei D. Polyanin, Alexei I. Zhurov	7
12	Decomposition and exact solutions of equations of a weakly compressible barotropic fluid 2013 ·Doklady Physics ·(unknown), Andrei D. Polyanin	4
13	Integration of hydrodynamic-type linear systems 2012 ·Doklady Physics ·Andrei D. Polyanin, A. V. Vyazmin	2
14	Longitudinal vibrations of a Rayleigh-Bishop rod 2010 ·Doklady Physics ·(unknown), Andrei D. Polyanin, (unknown), (unknown)	11
15	Exact solutions to nonlinear equations of mechanics and mathematical physics 1998 ·Andrei D. Polyanin, Alexei I. Zhurov	1
16	Mass and heat transfer to particles in a flow 1995 ·Theoretical Foundations of Chemical Engineering ·Andrei D. Polyanin, A. V. Vyazmin	3
17	The algebraic method for integration of the differential equations of nonlinear mechanics 1994 ·Doklady Physics ·Andrei D. Polyanin, Alexei I. Zhurov	0
18	Method for solution of some non-linear boundary value problems of a non-stationary diffusion-controlled (thermal) boundary layer 1982 ·International Journal of Heat and Mass Transfer ·Andrei D. Polyanin	10
19	Convective diffusion to a drop under arbitrary conditions of absorption. Diffusion boundary layer approximation 1979 ·Fluid Dynamics ·(unknown), Andrei D. Polyanin, Yu. S. Ryazantsev, Yu. A. Sergeev	0
20	Mass transfer of particles located on the flow axis at large peclet number 1977 ·Fluid Dynamics ·(unknown), Andrei D. Polyanin, Yu. S. Ryazantsev	7

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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