Sergey V. Meleshko

1.8k total citations
139 papers, 1.3k citations indexed

About

Sergey V. Meleshko is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, Sergey V. Meleshko has authored 139 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 65 papers in Statistical and Nonlinear Physics, 43 papers in Numerical Analysis and 38 papers in Applied Mathematics. Recurrent topics in Sergey V. Meleshko's work include Nonlinear Waves and Solitons (61 papers), Numerical methods for differential equations (31 papers) and Gas Dynamics and Kinetic Theory (23 papers). Sergey V. Meleshko is often cited by papers focused on Nonlinear Waves and Solitons (61 papers), Numerical methods for differential equations (31 papers) and Gas Dynamics and Kinetic Theory (23 papers). Sergey V. Meleshko collaborates with scholars based in Thailand, Russia and South Africa. Sergey V. Meleshko's co-authors include Nail H. Ibragimov, Sibusiso Moyo, V. F. Kovalev, В. В. Пухначев, В. А. Дородницын, N. Kh. Ibragimov, Roman Kozlov, N. Manganaro, Adrian E. Flood and Nagiza F. Samatova and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and Physics Letters A.

In The Last Decade

Sergey V. Meleshko

127 papers receiving 1.2k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Sergey V. Meleshko Thailand 17 733 410 239 238 196 139 1.3k
P. L. Sachdev India 19 406 0.6× 223 0.5× 326 1.4× 216 0.9× 183 0.9× 83 1.0k
Р. К. Газизов Russia 13 1.0k 1.4× 330 0.8× 81 0.3× 114 0.5× 676 3.4× 38 1.3k
Bernard Deconinck United States 22 1.1k 1.5× 180 0.4× 92 0.4× 65 0.3× 76 0.4× 69 1.7k
В. А. Дородницын Russia 15 634 0.9× 421 1.0× 186 0.8× 70 0.3× 102 0.5× 46 878
Л.В. Овсянников 4 1.4k 1.9× 482 1.2× 289 1.2× 232 1.0× 271 1.4× 4 2.0k
John K. Hunter United States 24 1.2k 1.7× 128 0.3× 528 2.2× 621 2.6× 133 0.7× 69 2.2k
Roman O. Popovych Ukraine 19 838 1.1× 247 0.6× 109 0.5× 60 0.3× 173 0.9× 69 1.0k
J. J. Mahony Australia 9 1.2k 1.6× 337 0.8× 198 0.8× 293 1.2× 320 1.6× 25 1.8k
Ruggero María Santilli United States 16 643 0.9× 158 0.4× 46 0.2× 86 0.4× 74 0.4× 95 1.3k
A. M. Vinogradov Italy 16 859 1.2× 172 0.4× 53 0.2× 176 0.7× 35 0.2× 55 1.2k

Countries citing papers authored by Sergey V. Meleshko

Since Specialization
Citations

This map shows the geographic impact of Sergey V. Meleshko'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 Sergey V. Meleshko with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Sergey V. Meleshko more than expected).

Fields of papers citing papers by Sergey V. Meleshko

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sergey V. Meleshko. 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 Sergey V. Meleshko. The network helps show where Sergey V. Meleshko may publish in the future.

Co-authorship network of co-authors of Sergey V. Meleshko

This figure shows the co-authorship network connecting the top 25 collaborators of Sergey V. Meleshko. A scholar is included among the top collaborators of Sergey V. Meleshko 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 Sergey V. Meleshko. Sergey V. Meleshko is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Meleshko, Sergey V., et al.. (2025). Unsteady one-dimensional flows of chemically reacting gas: Group analysis and solution of a strong explosion problem. International Journal of Non-Linear Mechanics. 175. 105100–105100.
2.
3.
Meleshko, Sergey V., et al.. (2025). Equivalence to the Classical Heat Equation Through Reciprocal Transformations. Studies in Applied Mathematics. 154(1).
4.
5.
Meleshko, Sergey V., et al.. (2023). Nonstationary one-dimensional flows of a two-temperature dissociating gas: Group analysis and invariant solutions. International Journal of Non-Linear Mechanics. 158. 104591–104591. 1 indexed citations
6.
Дородницын, В. А., Roman Kozlov, & Sergey V. Meleshko. (2023). Lagrangian formalism and Noether-type theorems for second-order delay ordinary differential equations. Journal of Physics A Mathematical and Theoretical. 56(34). 345203–345203. 1 indexed citations
7.
Meleshko, Sergey V., et al.. (2023). One class of MHD equations: Conservation laws and exact solutions. Studies in Applied Mathematics. 151(3). 957–974. 2 indexed citations
8.
Meleshko, Sergey V., et al.. (2023). Group classification of the two‐dimensional magnetogasdynamics equations in Lagrangian coordinates. Mathematical Methods in the Applied Sciences. 46(14). 15367–15390. 3 indexed citations
9.
Meleshko, Sergey V., et al.. (2022). Symmetries and conservation laws of the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates. Journal of Physics A Mathematical and Theoretical. 55(49). 495202–495202. 1 indexed citations
10.
Bobylev, A. V. & Sergey V. Meleshko. (2021). On group symmetries of the hydrodynamic equations for rarefied gas. Kinetic and Related Models. 14(3). 469–469. 2 indexed citations
11.
Дородницын, В. А., et al.. (2021). Plane one-dimensional MHD flows: Symmetries and conservation laws. International Journal of Non-Linear Mechanics. 140. 103899–103899. 8 indexed citations
12.
Meleshko, Sergey V., et al.. (2013). On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients. Journal of Mathematical Analysis and Applications. 410(1). 341–347. 8 indexed citations
13.
Meleshko, Sergey V.. (2012). General Solotion of DP-conditions for Simple Wave Type Solution of the One-Dimensional Gas Dynamics Equations. Thai Journal of Mathematics. 1(1). 151–162. 1 indexed citations
14.
Meleshko, Sergey V.. (2010). Comment on “Symmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients”. Communications in Nonlinear Science and Numerical Simulation. 16(9). 3447–3450. 12 indexed citations
15.
Meleshko, Sergey V. & Sibusiso Moyo. (2007). On the complete group classification of the reaction–diffusion equation with a delay. Journal of Mathematical Analysis and Applications. 338(1). 448–466. 51 indexed citations
16.
Ibragimov, Nail H. & Sergey V. Meleshko. (2005). Linearization of third-order ordinary differential equations by point and contact transformations. Journal of Mathematical Analysis and Applications. 308(1). 266–289. 64 indexed citations
17.
Meleshko, Sergey V., et al.. (1998). Bobylev-Krook-Wu Modes for Multicomponent Gas Mixtures. Physical Review Letters. 81(1). 93–95. 10 indexed citations
18.
Meleshko, Sergey V., et al.. (1990). Group theoretical analysis of kinetic Boltzmann equation and its models. Archives of Mechanics. 42(6). 693–701. 10 indexed citations
19.
Meleshko, Sergey V., et al.. (1987). Group analysis of the Boltzmann integrodifferential equation. 297(2). 323–327. 1 indexed citations
20.
Meleshko, Sergey V., et al.. (1987). Group analysis of the Boltzman integrodifferential equation. Soviet physics. Doklady. 32. 874. 1 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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