A. B. Shabat

7.5k citations
82 papers · 4.6k indexed · 2 hit papers · h-index 25

A. B. Shabat

69 papers receiving 4.1k citations

Hit Papers

A scheme for integrating the nonlinear equations of mathe...583197020261988200750010001.5k

Peers

A. B. Shabat
Comparison fields: 5 of 65
  • Statistical and Nonlinear Physics 4.0k
  • Mathematical Physics 1.1k
  • Geometry and Topology 1.0k
  • Numerical Analysis 463
  • Atomic and Molecular Physics, and Optics 1.3k
Replace V. B. Matveev with:
V. B. Matveev Russia
Benno Fuchssteiner Germany
Jarmo Hietarinta Finland
A. R. Its United States
D. Levi Italy
B. G. Konopelchenko Italy
Allan P. Fordy United Kingdom
M. A. Ablowitz United Kingdom
Boris Dubrovin Italy
Yasuhiro Ohta Japan
A. B. Shabat relative to V. B. Matveev Russia V. B. Matveev's profile →
Citations per field
00.5×1.5×
V. B. Matveev · 1×
Citations per year

Countries citing papers authored by A. B. Shabat

Since Specialization
Citations

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

Fields of papers citing papers by A. B. Shabat

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network

The 23 scholars most cited alongside A. B. Shabat, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with A. B. Shabat Line = papers co-authored together A. B. Shabat links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 20202
2 20151
3 20123
4 20073
5 20048
6 19984
7 199753
8 199716
9 1993168
10 199344
11 198628
12 198017
13 198036
14
KLEIN-GORDON EQUATIONS WITH A NONTRIVIAL GROUP
197941
15
Liouville type equations
19792
16
The Korteweg-de Vries equation from the point of view of transformation groups
19792
17 197548
18
A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. Ibreakdown →
1974583
19
Interaction between solitons in a stable medium
1973246
20
Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Mediabreakdown →
19701693

About A. B. Shabat

A. B. Shabat is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Geometry and Topology, having authored 82 papers that have together received 4.6k indexed citations. Recurring topics across this work include Nonlinear Waves and Solitons (55 papers), Nonlinear Photonic Systems (39 papers), Quantum chaos and dynamical systems (11 papers), Advanced Differential Equations and Dynamical Systems (8 papers), Differential Equations and Boundary Problems (7 papers), Numerical methods for differential equations (7 papers), Molecular spectroscopy and chirality (7 papers) and Advanced Topics in Algebra (6 papers). The work is most often cited by research in Statistical and Nonlinear Physics (4.0k citations), Mathematical Physics (1.1k citations) and Geometry and Topology (1.0k citations). A. B. Shabat has collaborated with scholars based in Russia, Spain and United States. Frequent co-authors include В. Е. Захаров, R. I. Yamilov, А. В. Михайлов, Luis Martı́nez Alonso, А. П. Веселов, V. É. Adler, N. Kh. Ibragimov, A. N. Leznov, А. В. Жибер and В. Г. Смирнов. Their work appears in journals such as Communications in Mathematical Physics, Physics Letters A and Physica D Nonlinear Phenomena.

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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