P. G. Grinevich

1.6k citations

74 papers · 765 indexed · h-index 15

Statistical and Nonlinear Physics top 1%
Atomic and Molecular Physics, and Optics top 10%
Mathematical Physics top 5%
Geometry and Topology top 5%
Applied Mathematics top 5%

Co-authors: P. M. Santini S. P. Novikov Roman Novikov V. A. Benderskiǐ Dmitrii E. Makarov S. V. Manakov G. E. Volovik Martin Schmidt
Topics: Nonlinear Waves and Solitons (43 papers)Nonlinear Photonic Systems (26 papers)Advanced Mathematical Physics Problems (17 papers)
Cited by: Statistical and Nonlinear Physics Mathematical Physics Geometry and Topology
Journals: Physics Letters A Communications on Pure and Applied Mathematics Physica D Nonlinear Phenomena
Partner nations: Russia Italy France

In The Last Decade

P. G. Grinevich

64 papers receiving 680 citations

Peers

Countries citing papers authored by P. G. Grinevich

Since Specialization

Citations

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

Fields of papers citing papers by P. G. Grinevich

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. G. Grinevich. 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 P. G. Grinevich. The network helps show where P. G. Grinevich may publish in the future.

Co-authorship network of co-authors of P. G. Grinevich

This figure shows the co-authorship network connecting the top 25 collaborators of P. G. Grinevich. A scholar is included among the top collaborators of P. G. Grinevich 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 P. G. Grinevich. P. G. Grinevich 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

#	Work	Indexed citations
1	The periodic N breather anomalous wave solution of the Davey–Stewartson equations; first appearance, recurrence, and blow up properties 2023 ·Journal of Physics A Mathematical and Theoretical ·(unknown),P. G. Grinevich,P. M. Santini	4
2	Real regular KP divisors on $${\texttt {M}}$$-curves and totally non-negative Grassmannians 2022 ·Letters in Mathematical Physics ·(unknown),P. G. Grinevich	1
3	Spectral inequality for Schrodinger's equation with multipoint potential 2022 ·Russian Mathematical Surveys ·P. G. Grinevich,Roman Novikov	1
4	The linear and nonlinear instability of the Akhmediev breather 2021 ·IRIS Research product catalog (Sapienza University of Rome) ·P. G. Grinevich,P. M. Santini	10
5	TRANSMISSION EIGENVALUES FOR MULTIPOINT SCATTERERS 2021 ·arXiv (Cornell University) ·P. G. Grinevich,Roman Novikov,(unknown)	2
6	Amalgamation in totally non-negative Grassmannians and real regular KP divisors on $M$-curves 2020 ·arXiv (Cornell University) ·(unknown),P. G. Grinevich	1
7	Effect of a small loss or gain in the periodic nonlinear Schrödinger anomalous wave dynamics 2020 ·Physical review. E ·(unknown),P. G. Grinevich,P. M. Santini	22
8	Real Soliton Lattices of the Kadomtsev Petviashvili II Equation and Desingularization of Spectral Curves: The GrTP(2, 4) Case 2018 ·Proceedings of the Steklov Institute of Mathematics ·(unknown),P. G. Grinevich	7
9	KP theory, plane-bipartite networks in the disk and rational degenerations of M-curves 2017 ·arXiv (Cornell University) ·(unknown),P. G. Grinevich	1
10	Обобщенные аналитические функции, преобразования типа Мутара и голоморфные отображения 2016 ·Функциональный анализ и его приложения ·P. G. Grinevich,(unknown)	0
11	Обобщенные аналитические функции, преобразования типа Мутара и голоморфные отображения 2016 ·Функциональный анализ и его приложения ·P. G. Grinevich,Roman Novikov	0
12	Holomorphic eigenfunctions of the vector field associated with the dispersionless Kadomtsev–Petviashvili equation 2013 ·Journal of Differential Equations ·P. G. Grinevich,P. M. Santini	1
13	Periodic billiard orbits on n-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations 2010 ·Journal of Geometry and Physics ·(unknown),P. G. Grinevich	0
14	CLOSED CURVES IN R³ AND THE NONLINEAR SCHRÖDINGER EQUATION 2000 ·P. G. Grinevich,Martin Schmidt	3
15	Преобразование рассеяния для двумерного оператора Шрeдингера с убывающим на бесконечности потенциалом при фиксированной ненулевой энергии 2000 ·Успехи математических наук ·P. G. Grinevich	11
16	Rapidly decreasing potentials on a background of finite-zone potentials and the$$\bar \partial $$-problem on Riemann spaces 1989 ·Functional Analysis and Its Applications ·P. G. Grinevich	1
17	Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I. Energies below the ground state 1988 ·Functional Analysis and Its Applications ·P. G. Grinevich,S. P. Novikov	50
18	Analogs of multisoliton potentials for the two-dimensional Schroedinger operator and the nonlocal Riemann problem 1986 ·P. G. Grinevich,Roman Novikov	2
19	Inverse scattering problem for the two-dimensional Schrödinger operator, the$$\bar \partial$$-method and nonlinear equations 1986 ·Functional Analysis and Its Applications ·P. G. Grinevich,S. V. Manakov	44
20	Analogs of multisoliton potentials for the two-dimensional Schrödinger operator 1985 ·Functional Analysis and Its Applications ·P. G. Grinevich,Roman Novikov	14

About P. G. Grinevich

P. G. Grinevich is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics, having authored 74 papers that have together received 765 indexed citations. Recurring topics across this work include Nonlinear Waves and Solitons (43 papers), Nonlinear Photonic Systems (26 papers) and Advanced Mathematical Physics Problems (17 papers). The work is most often cited by research in Statistical and Nonlinear Physics (485 citations), Mathematical Physics (255 citations) and Geometry and Topology (94 citations). P. G. Grinevich has collaborated with scholars based in Russia, Italy and France. Frequent co-authors include P. M. Santini, S. P. Novikov, Roman Novikov, V. A. Benderskiǐ, Dmitrii E. Makarov, S. V. Manakov, G. E. Volovik, Martin Schmidt, P. Santini and Claudio Conti. Their work appears in journals such as Physics Letters A, Communications on Pure and Applied Mathematics 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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