V. K. Mel’nikov
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
Peers
V. K. Mel’nikov
Holger R. Dullin United Kingdom
Franco Vivaldi United Kingdom
В. В. Козлов Russia
Nicholas M. Ercolani United States
J. F. Ladik United States
Fabrice Béthuel France
Bao‐Feng Feng United States
Richard Cushman Netherlands
Jeroen S. W. Lamb United Kingdom
Eugene J. Saletan United States
Citations per year, relative to V. K. Mel’nikov V. K. Mel’nikov (= 1×)
peers
Holger R. Dullin
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.
No nodes
All Works
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.
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.
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.
Mel’nikov, V. K.. (1992). Integration of the nonlinear Schrodinger equation with a source. Inverse Problems. 8(1). 133–147.
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.
6.
Mel’nikov, V. K.. (1990). New method for deriving nonlinear integrable systems. Journal of Mathematical Physics. 31(5). 1106–1113.
7.
Mel’nikov, V. K.. (1990). Integration of the Korteweg-de Vries equation with a source. Inverse Problems. 6(2). 233–246.
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.
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.
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.
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.
12.
Mel’nikov, V. K.. (1987). Reflection of waves in nonlinear integrable systems. Journal of Mathematical Physics. 28(11). 2603–2609.
13.
Mel’nikov, V. K.. (1986). WAVE EMISSION AND ABSORPTION IN THE NONLINEAR INTEGRABLE SYSTEM. Physics Letters B.
14.
Mel’nikov, V. K.. (1986). Wave emission and absorption in a nonlinear integrable system. Physics Letters A. 118(1). 22–24.
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.
16.
Mel’nikov, V. K.. (1983). On equations for wave interactions. Letters in Mathematical Physics. 7(2). 129–136.
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.
18.
Mel’nikov, V. K.. (1980). Inverse scattering method in the theory of nonlinear evolution equations.
19.
Mel’nikov, V. K.. (1980). ON EQUATIONS GENERATED BY AN OPERATOR RELATION. Mathematics of the USSR-Sbornik. 36(3). 351–363.
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.
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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