L. A. Dikii

1.2k total citations
14 papers, 814 citations indexed

About

L. A. Dikii is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, L. A. Dikii has authored 14 papers receiving a total of 814 indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Statistical and Nonlinear Physics, 4 papers in Numerical Analysis and 3 papers in Mathematical Physics. Recurrent topics in L. A. Dikii's work include Nonlinear Waves and Solitons (5 papers), Numerical methods for differential equations (3 papers) and Quantum chaos and dynamical systems (3 papers). L. A. Dikii is often cited by papers focused on Nonlinear Waves and Solitons (5 papers), Numerical methods for differential equations (3 papers) and Quantum chaos and dynamical systems (3 papers). L. A. Dikii collaborates with scholars based in . L. A. Dikii's co-authors include I. M. Gel'fand, L. S. Pontryagin, V. G. Boltyanskiĭ, А. А. Гольдберг, B. M. Levitan, N. N. Krasovskiĭ and Р. В. Гамкрелидзе and has published in prestigious journals such as Russian Mathematical Surveys, Functional Analysis and Its Applications and Journal of Applied Mathematics and Mechanics.

In The Last Decade

L. A. Dikii

13 papers receiving 669 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
L. A. Dikii	9	680	380	156	147	130	14	814
E. V. Ferapontov United Kingdom	21	1.1k 1.6×	599 1.6×	99 0.6×	416 2.8×	156 1.2×	85	1.3k
Steven Shnider Canada	17	404 0.6×	397 1.0×	150 1.0×	242 1.6×	387 3.0×	54	1.0k
Y. Nutku Türkiye	20	733 1.1×	278 0.7×	66 0.4×	126 0.9×	537 4.1×	55	1.2k
M. V. Pavlov Russia	16	774 1.1×	304 0.8×	34 0.2×	271 1.8×	47 0.4×	80	896
Sarbarish Chakravarty United States	18	788 1.2×	248 0.7×	60 0.4×	162 1.1×	103 0.8×	47	953
Martin Bordemann Germany	16	316 0.5×	466 1.2×	322 2.1×	408 2.8×	278 2.1×	38	897
Тамара Грава Italy	15	479 0.7×	136 0.4×	26 0.2×	294 2.0×	46 0.4×	47	612
J. Beckers Belgium	15	528 0.8×	270 0.7×	136 0.9×	73 0.5×	137 1.1×	83	735
Isidore Hauser United States	16	339 0.5×	63 0.2×	29 0.2×	81 0.6×	363 2.8×	32	626
B. Kent Harrison United States	11	433 0.6×	77 0.2×	25 0.2×	45 0.3×	508 3.9×	25	1.1k

Countries citing papers authored by L. A. Dikii

Since Specialization

Citations

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

Fields of papers citing papers by L. A. Dikii

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by L. A. Dikii. 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 L. A. Dikii. The network helps show where L. A. Dikii may publish in the future.

Co-authorship network of co-authors of L. A. Dikii

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

All Works

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14 of 14 papers shown

Gel'fand, I. M. & L. A. Dikii. (1979). Integrable nonlinear equations and the Liouville theorem. Functional Analysis and Its Applications. 13(1). 6–15. 38 indexed citations

Gel'fand, I. M. & L. A. Dikii. (1978). The calculus of jets and nonlinear Hamiltonian systems. Functional Analysis and Its Applications. 12(2). 81–94. 24 indexed citations

Gel'fand, I. M. & L. A. Dikii. (1977). The resolvent and Hamiltonian systems. Functional Analysis and Its Applications. 11(2). 93–105. 103 indexed citations

Gel'fand, I. M. & L. A. Dikii. (1976). A Lie algebra structure in a formal variational calculation. Functional Analysis and Its Applications. 10(1). 16–22. 72 indexed citations

Gel'fand, I. M. & L. A. Dikii. (1976). Fractional powers of operators and Hamiltonian systems. Functional Analysis and Its Applications. 10(4). 259–273. 201 indexed citations

Gel'fand, I. M. & L. A. Dikii. (1975). ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS. Russian Mathematical Surveys. 30(5). 77–113. 313 indexed citations

Dikii, L. A.. (1972). Hamiltonian systems connected with the rotation group. Functional Analysis and Its Applications. 6(4). 326–327. 13 indexed citations

Dikii, L. A.. (1967). On the Asymptotic Behavior of Solutions of the Laplace Tidal Equation. SPhD. 11. 772. 1 indexed citations

Dikii, L. A.. (1967). Double completeness of a system of characteristic functions arising in a problem of mathematical physics. Functional Analysis and Its Applications. 1(3). 193–199. 1 indexed citations

10.

Dikii, L. A.. (1965). On the nonlinear theory of hydrodynamic stability. Journal of Applied Mathematics and Mechanics. 29(5). 1009–1012. 8 indexed citations

11.

Dikii, L. A.. (1964). On the stability of plane-parallel couette flow. Journal of Applied Mathematics and Mechanics. 28(2). 479–483. 15 indexed citations

12.

Boltyanskiĭ, V. G., L. A. Dikii, Р. В. Гамкрелидзе, et al.. (1961). Twenty Papers on Analytic Functions and Ordinary Differential Equations.

13.

Dikii, L. A.. (1961). The Stability of Plane-Parallel Flows of an Ideal Fluid. SPhD. 5. 1179. 18 indexed citations

14.

Dikii, L. A.. (1960). On the stability of plane parallel flows of an inhomogeneous fluid. Journal of Applied Mathematics and Mechanics. 24(2). 357–369. 7 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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