V. K. Mel’nikov

2.2k total citations · 1 hit paper
23 papers, 1.7k citations indexed

About

V. K. Mel’nikov is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, V. K. Mel’nikov has authored 23 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Statistical and Nonlinear Physics, 13 papers in Mathematical Physics and 3 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in V. K. Mel’nikov's work include Nonlinear Photonic Systems (20 papers), Nonlinear Waves and Solitons (20 papers) and Advanced Mathematical Physics Problems (13 papers). V. K. Mel’nikov is often cited by papers focused on Nonlinear Photonic Systems (20 papers), Nonlinear Waves and Solitons (20 papers) and Advanced Mathematical Physics Problems (13 papers). V. K. Mel’nikov collaborates with scholars based in Russia. V. K. Mel’nikov's co-authors include and has published in prestigious journals such as Physics Letters B, Communications in Mathematical Physics and Physics Letters A.

In The Last Decade

V. K. Mel’nikov

22 papers receiving 1.5k 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.

On the Stability of the Center for Time Periodic Perturbations

1963 736 citations V. K. Mel’nikov profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
V. K. Mel’nikov Russia	13	1.5k	372	365	331	284	23	1.7k
Holger R. Dullin United Kingdom	19	1.2k 0.8×	222 0.6×	339 0.9×	485 1.5×	90 0.3×	68	1.5k
Franco Vivaldi United Kingdom	22	1.2k 0.8×	211 0.6×	286 0.8×	639 1.9×	254 0.9×	71	1.6k
В. В. Козлов Russia	10	735 0.5×	150 0.4×	267 0.7×	188 0.6×	71 0.3×	24	1.2k
Nicholas M. Ercolani United States	18	632 0.4×	193 0.5×	192 0.5×	288 0.9×	131 0.5×	51	1.0k
J. F. Ladik United States	6	1.9k 1.3×	729 2.0×	266 0.7×	267 0.8×	195 0.7×	8	2.0k
Fabrice Béthuel France	19	451 0.3×	214 0.6×	339 0.9×	786 2.4×	198 0.7×	58	2.0k
Bao‐Feng Feng United States	26	1.5k 1.0×	576 1.5×	248 0.7×	378 1.1×	73 0.3×	75	1.6k
Richard Cushman Netherlands	24	1.0k 0.7×	371 1.0×	517 1.4×	296 0.9×	95 0.3×	73	1.7k
Jeroen S. W. Lamb United Kingdom	15	759 0.5×	49 0.1×	469 1.3×	193 0.6×	359 1.3×	48	1.2k
Eugene J. Saletan United States	14	621 0.4×	304 0.8×	216 0.6×	154 0.5×	35 0.1×	23	1.2k

Countries citing papers authored by V. K. Mel’nikov

Since Specialization

Citations

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

Fields of papers citing papers by V. K. Mel’nikov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by V. K. Mel’nikov. 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 V. K. Mel’nikov. The network helps show where V. K. Mel’nikov may publish in the future.

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All Works

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20 of 20 papers shown

1.

Mel’nikov, V. K.. (2003). Structure of Equations Solvable by the Inverse Scattering Transform for the Schrödinger Operator. Theoretical and Mathematical Physics. 134(1). 94–106. 1 indexed citations

2.

Mel’nikov, V. K.. (2002). On equations solvable by the inverse scattering method for the Dirac operator. Communications in Nonlinear Science and Numerical Simulation. 8(1). 9–36. 2 indexed citations

3.

Mel’nikov, V. K.. (1994). Integrable and nonintegrable cases of the Lax equations with a source. Theoretical and Mathematical Physics. 99(3). 733–737. 4 indexed citations

4.

Mel’nikov, V. K.. (1992). Integration of the nonlinear Schrodinger equation with a source. Inverse Problems. 8(1). 133–147. 88 indexed citations

5.

Mel’nikov, V. K.. (1991). Integration of the nonlinear Schroedinger equation with a self-consistent source. Communications in Mathematical Physics. 137(2). 359–381. 32 indexed citations

6.

Mel’nikov, V. K.. (1990). New method for deriving nonlinear integrable systems. Journal of Mathematical Physics. 31(5). 1106–1113. 43 indexed citations

7.

Mel’nikov, V. K.. (1990). Integration of the Korteweg-de Vries equation with a source. Inverse Problems. 6(2). 233–246. 85 indexed citations

8.

Mel’nikov, V. K.. (1990). Creation and annihilation of solitons in the system described by the Korteweg-de Vries equation with a self-consistent source. Inverse Problems. 6(5). 809–823. 10 indexed citations

9.

Mel’nikov, V. K.. (1989). Interaction of solitary waves in the system described by the Kadomtsev-Petviashvili equation with a self-consistent source. Communications in Mathematical Physics. 126(1). 201–215. 83 indexed citations

10.

Mel’nikov, V. K.. (1988). Exact solutions of the Korteweg-de Vries equation with a self-consistent source. Physics Letters A. 128(9). 488–492. 44 indexed citations

11.

Mel’nikov, V. K.. (1987). A direct method for deriving a multi-soliton solution for the problem of interaction of waves on thex,y plane. Communications in Mathematical Physics. 112(4). 639–652. 129 indexed citations

12.

Mel’nikov, V. K.. (1987). Reflection of waves in nonlinear integrable systems. Journal of Mathematical Physics. 28(11). 2603–2609. 34 indexed citations

13.

Mel’nikov, V. K.. (1986). WAVE EMISSION AND ABSORPTION IN THE NONLINEAR INTEGRABLE SYSTEM. Physics Letters B. 2 indexed citations

14.

Mel’nikov, V. K.. (1986). Wave emission and absorption in a nonlinear integrable system. Physics Letters A. 118(1). 22–24. 58 indexed citations

15.

Mel’nikov, V. K.. (1984). SOME NEW NONLINEAR EVOLUTION EQUATIONS INTEGRABLE BY THE INVERSE PROBLEM METHOD. Mathematics of the USSR-Sbornik. 49(2). 461–489. 9 indexed citations

16.

Mel’nikov, V. K.. (1983). On equations for wave interactions. Letters in Mathematical Physics. 7(2). 129–136. 115 indexed citations

17.

Mel’nikov, V. K.. (1981). Conservation laws for a class of systems of nonlinear evolution equations. Functional Analysis and Its Applications. 15(1). 33–47. 2 indexed citations

18.

Mel’nikov, V. K.. (1980). Inverse scattering method in the theory of nonlinear evolution equations. 2 indexed citations

19.

Mel’nikov, V. K.. (1980). ON EQUATIONS GENERATED BY AN OPERATOR RELATION. Mathematics of the USSR-Sbornik. 36(3). 351–363. 5 indexed citations

20.

Mel’nikov, V. K.. (1968). Об одном семействе условно-периодических решений системы Гамильтона.. Proceedings of the USSR Academy of Sciences. 181(3). 546–549. 11 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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