A. N. Leznov

1.7k total citations
80 papers, 1.1k citations indexed

About

A. N. Leznov is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, A. N. Leznov has authored 80 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 59 papers in Statistical and Nonlinear Physics, 25 papers in Geometry and Topology and 14 papers in Mathematical Physics. Recurrent topics in A. N. Leznov's work include Nonlinear Waves and Solitons (56 papers), Nonlinear Photonic Systems (28 papers) and Algebraic structures and combinatorial models (18 papers). A. N. Leznov is often cited by papers focused on Nonlinear Waves and Solitons (56 papers), Nonlinear Photonic Systems (28 papers) and Algebraic structures and combinatorial models (18 papers). A. N. Leznov collaborates with scholars based in Russia, Mexico and United Kingdom. A. N. Leznov's co-authors include M. V. Saveliev, В. Г. Смирнов, A. B. Shabat, D. B. Fairlie, R. I. Yamilov, Emil A. Yuzbashyan, Dimitry Leites, Chandrashekar Devchand, Bernard Piette and W. J. Zakrzewski and has published in prestigious journals such as Nuclear Physics B, Physics Letters B and Communications in Mathematical Physics.

In The Last Decade

A. N. Leznov

71 papers receiving 970 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. N. Leznov Russia	18	944	559	366	220	132	80	1.1k
M. V. Saveliev Russia	17	770 0.8×	565 1.0×	322 0.9×	243 1.1×	131 1.0×	45	936
Kanehisa Takasaki Japan	19	1.0k 1.1×	774 1.4×	371 1.0×	153 0.7×	213 1.6×	74	1.2k
H. W. Braden United Kingdom	16	692 0.7×	511 0.9×	619 1.7×	142 0.6×	116 0.9×	65	1.1k
L. A. Dickey United States	10	924 1.0×	635 1.1×	107 0.3×	191 0.9×	168 1.3×	24	1.0k
Franco Magri Italy	16	1.4k 1.5×	794 1.4×	170 0.5×	347 1.6×	487 3.7×	44	1.7k
Ryu Sasaki Japan	16	779 0.8×	395 0.7×	277 0.8×	91 0.4×	95 0.7×	64	1.0k
Marc Bellon France	15	400 0.4×	343 0.6×	275 0.8×	116 0.5×	131 1.0×	42	646
K. Pohlmeyer Germany	11	880 0.9×	334 0.6×	738 2.0×	58 0.3×	153 1.2×	27	1.2k
E. V. Ferapontov United Kingdom	21	1.1k 1.1×	599 1.1×	156 0.4×	99 0.5×	416 3.2×	85	1.3k
Aristophanes Dimakis Greece	17	494 0.5×	329 0.6×	239 0.7×	195 0.9×	246 1.9×	58	741

Countries citing papers authored by A. N. Leznov

Since Specialization

Citations

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

Fields of papers citing papers by A. N. Leznov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. N. Leznov

This figure shows the co-authorship network connecting the top 25 collaborators of A. N. Leznov. A scholar is included among the top collaborators of A. N. Leznov 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 A. N. Leznov. A. N. Leznov 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

Leznov, A. N. & Emil A. Yuzbashyan. (2003). Fine Structure of Matrix Darboux-Toda Integrable Mapping.

Leznov, A. N., et al.. (2002). The Relativistic invariant Lie algebra for the kinematical observables in quantum space-time. Gravitation and Cosmology. 9. 159–162. 8 indexed citations

Leznov, A. N.. (2000). A new approach to the representation theory of semisimple Lie algebras and quantum algebras. Theoretical and Mathematical Physics. 123(2). 633–650. 1 indexed citations

Leznov, A. N.. (1999). Exactly Integrable Systems Connected to Semisimple Algebras of Second Rank A2, B2, C2, G2. Journal of Nonlinear Mathematical Physics. 6(2). 181–181. 1 indexed citations

Leznov, A. N. & Emil A. Yuzbashyan. (1999). Integrable mappings for noncommutative objects. Reports on Mathematical Physics. 43(1-2). 207–214. 3 indexed citations

Fairlie, D. B. & A. N. Leznov. (1999). The Complex Bateman Equation. Letters in Mathematical Physics. 49(3). 213–216. 1 indexed citations

Leznov, A. N.. (1998). Integrable two-dimensional Ultra-Toda mappings and chains. Theoretical and Mathematical Physics. 117(1). 1194–1207. 3 indexed citations

Fairlie, D. B. & A. N. Leznov. (1994). General Solution of the Universal Equation in n-Dimensional Space. Journal of Nonlinear Mathematical Physics. 1(4). 333–333. 1 indexed citations

Leznov, A. N., A. B. Shabat, & R. I. Yamilov. (1993). Canonical transformations generated by shifts in nonlinear lattices. Physics Letters A. 174(5-6). 397–402. 44 indexed citations

10.

Leznov, A. N., V. I. Manʹko, & S. M. Chumakov. (1987). Dynamical Symmetries of Nonlinear Equations. 167. 299. 1 indexed citations

11.

Leznov, A. N., V. I. Manʹko, & S. M. Chumakov. (1985). Symmetries and soliton solutions of nonlinear equations. Theoretical and Mathematical Physics. 63(1). 356–365. 1 indexed citations

12.

Leznov, A. N., et al.. (1981). Exact solutions for cylindrically symmetric configurations of gauge fields. II. 191(10). e1840–e1840. 5 indexed citations

13.

Leznov, A. N. & В. Г. Смирнов. (1981). Graded algebras of the second rank and integration of nonlinear equations Y zz =exp (2Y)?2Y, Y zz =2 exp (Y)?exp (?2Y). Letters in Mathematical Physics. 5(1). 31–36. 13 indexed citations

14.

Leznov, A. N. & M. V. Saveliev. (1981). Theory of group representations and integration of nonlinear systems xa, zz=exp(kx)a. Physica D Nonlinear Phenomena. 3(1-2). 62–72. 31 indexed citations

15.

Leznov, A. N., et al.. (1980). Two-dimensional nonlinear system of differential equations xα, zz = exp (kx) α. Functional Analysis and Its Applications. 14(3). 238–240. 2 indexed citations

16.

Leznov, A. N. & M. V. Saveliev. (1980). Representation theory and integration of nonlinear spherically symmetric equations to gauge theories. Communications in Mathematical Physics. 74(2). 111–118. 127 indexed citations

17.

Leznov, A. N. & M. V. Saveliev. (1980). EXACT CYLINDRICALLY SYMMETRIC SOLUTIONS OF THE CLASSICAL EQUATIONS IN GAUGE THEORIES WITH THE ARBITRARY COMPACT LIE GROUPS. (IN RUSSIAN). 11. 40–91. 3 indexed citations

18.

Leznov, A. N. & M. V. Saveliev. (1979). Exact monopole solutions in gauge theories for an arbitrary semisimple compact group. Letters in Mathematical Physics. 3(3). 207–211. 38 indexed citations

19.

Leznov, A. N., et al.. (1974). A parametrization of compact groups. Functional Analysis and Its Applications. 8(4). 347–348. 7 indexed citations

20.

Leznov, A. N., et al.. (1970). Characters of the irreducible representations of the pseudounitary group U(p, q). II. Theoretical and Mathematical Physics. 4(3). 854–862.

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