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Author ID: kapaev.andrei-a Recent zbMATH articles by "Kapaev, Andrei A."
Published as: Kapaev, A. A.; Kapaev, Andrei A.; Kapaev, Andrei; Kapaev, A.
External Links: MGP
Documents Indexed: 37 Publications since 1986, including 1 Book
Reviewing Activity: 119 Reviews
Co-Authors: 14 Co-Authors with 22 Joint Publications
621 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 436 times in 314 Documents Cited by Year
Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu.
145
2006
Quasi-linear Stokes phenomenon for the Painlevé first equation. Zbl 1080.34071
Kapaev, A. A.
37
2004
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
33
2012
Connection formulae for the first Painlevé transcendent in the complex domain. Zbl 0777.34007
Kapaev, A. A.; Kitaev, A. V.
21
1993
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
18
1999
On a transform method for the Laplace equation in a polygon. Zbl 1170.37331
Fokas, A. S.; Kapaev, A. A.
17
2003
Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146
Its, A. R.; Kapaev, A. A.
17
2003
Riemann-Hilbert problem for bi-orthogonal polynomials. Zbl 1078.34072
Kapaev, Andrei A.
12
2003
Asymptotics of solutions of the Painlevé equation of the first kind. Zbl 0677.34052
Kapaev, A. A.
11
1988
The method of isomonodromy deformations and connection formulas for the second Painlevé transcendent. Zbl 0681.34053
Its, A. R.; Kapaev, A. A.
11
1987
Connection formulae for the fourth Painlevé transcendent: Clarkson-McLeod solution. Zbl 0898.34006
Its, Alexander R.; Kapaev, Andrei A.
10
1998
The nonlinear steepest descent approach to the asymptotics of the second Painlevé transcendent in the complex domain. Zbl 1047.34104
Its, A. R.; Kapaev, A. A.
10
2002
A note on the Lax pairs for Painlevé equations. Zbl 0962.34068
Kapaev, A. A.; Hubert, E.
9
1999
Weakly nonlinear solutions of equation \(P^ 2_ 1\). Zbl 0834.34007
Kapaev, A. A.
8
1991
On the asymptotic analysis of the Painlevé equations via the isomonodromy method. Zbl 0816.34039
Its, A. R.; Fokas, A. S.; Kapaev, A. A.
7
1994
On the Riemann-Hilbert-Birkhoff inverse monodromy problem and the Painlevé equations. Zbl 1077.34089
Bolibrukh, A. A.; Its, A. R.; Kapaev, A. A.
7
2004
On the tritronquée solutions of \(\mathrm{P}_{\mathrm{I}}^2\). Zbl 1326.34136
Grava, Tamara; Kapaev, Andrei; Klein, Christian
7
2015
Asymptotic expressions for the second Painlevé functions. Zbl 0692.34061
Kapaev, A. A.
7
1988
Lax pairs for Painlevé equations. Zbl 1011.34074
Kapaev, A. A.
6
2002
A Riemann-Hilbert approach to the Laplace equation. Zbl 0972.35024
Fokas, A. S.; Kapaev, A. A.
5
2000
Monodromy deformation approach to the scaling limit of the Painlevé first equation. Zbl 1029.34083
Kapaev, Andrei A.
5
2002
On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\). Zbl 1351.81059
Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco
4
2016
On an isomonodromy deformation equation without the Painlevé property. Zbl 1322.34102
Dubrovin, B.; Kapaev, A.
4
2014
Monodromy approach to the scaling limits in isomonodromy systems. Zbl 1178.34112
Kapaev, A. A.
3
2003
Essential singularity of the second-genus Painlevé function and the nonlinear Stokes phenomenon. Zbl 0834.34010
Kapaev, A. A.
3
1991
The essential singularity of the second Painlevé function and the nonlinear Stokes phenomenon. Zbl 0746.34006
Kapaev, A. A.
3
1991
Scaling limits in the second Painlevé transcendent. Zbl 0851.34055
Kapaev, A. A.
3
1994
A Riemann-Hilbert approach to the Heun equation. Zbl 1404.34100
Dubrovin, Boris; Kapaev, Andrei
3
2018
The irreducibility of the second Painlevé equation and the isomonodromy method. Zbl 1048.34149
Its, A. R.; Kapaev, A. A.
2
2000
Scaling limits in the second Painlevé transcendent. Zbl 0868.34042
Kapaev, A. A.
2
1994
Limit transition \({\mathbb{P}{}}_ 2\longrightarrow{}{\mathbb{P}{}}_ 1\). Zbl 0746.34007
Kapaev, A. A.; Kitaev, A. V.
2
1991
Weakly nonlinear solutions of the \({\mathbb{P}{}}^ 2_ 1\) equation. Zbl 0746.34008
Kapaev, A. A.
2
1991
Two-parameter family of real solutions of the second Painlevé equation. Zbl 0643.35086
Kapaev, A. A.; Novokshenov, V. Yu.
1
1986
Passage to the limit \(\mathbb{P}_ 2\longrightarrow\mathbb{P}_ 1\). Zbl 0834.34006
Kapaev, A. A.; Kitaev, A. V.
1
1991
A Riemann-Hilbert approach to the Heun equation. Zbl 1404.34100
Dubrovin, Boris; Kapaev, Andrei
3
2018
On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\). Zbl 1351.81059
Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco
4
2016
On the tritronquée solutions of \(\mathrm{P}_{\mathrm{I}}^2\). Zbl 1326.34136
Grava, Tamara; Kapaev, Andrei; Klein, Christian
7
2015
On an isomonodromy deformation equation without the Painlevé property. Zbl 1322.34102
Dubrovin, B.; Kapaev, A.
4
2014
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
33
2012
Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu.
145
2006
Quasi-linear Stokes phenomenon for the Painlevé first equation. Zbl 1080.34071
Kapaev, A. A.
37
2004
On the Riemann-Hilbert-Birkhoff inverse monodromy problem and the Painlevé equations. Zbl 1077.34089
Bolibrukh, A. A.; Its, A. R.; Kapaev, A. A.
7
2004
On a transform method for the Laplace equation in a polygon. Zbl 1170.37331
Fokas, A. S.; Kapaev, A. A.
17
2003
Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146
Its, A. R.; Kapaev, A. A.
17
2003
Riemann-Hilbert problem for bi-orthogonal polynomials. Zbl 1078.34072
Kapaev, Andrei A.
12
2003
Monodromy approach to the scaling limits in isomonodromy systems. Zbl 1178.34112
Kapaev, A. A.
3
2003
The nonlinear steepest descent approach to the asymptotics of the second Painlevé transcendent in the complex domain. Zbl 1047.34104
Its, A. R.; Kapaev, A. A.
10
2002
Lax pairs for Painlevé equations. Zbl 1011.34074
Kapaev, A. A.
6
2002
Monodromy deformation approach to the scaling limit of the Painlevé first equation. Zbl 1029.34083
Kapaev, Andrei A.
5
2002
A Riemann-Hilbert approach to the Laplace equation. Zbl 0972.35024
Fokas, A. S.; Kapaev, A. A.
5
2000
The irreducibility of the second Painlevé equation and the isomonodromy method. Zbl 1048.34149
Its, A. R.; Kapaev, A. A.
2
2000
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
18
1999
A note on the Lax pairs for Painlevé equations. Zbl 0962.34068
Kapaev, A. A.; Hubert, E.
9
1999
Connection formulae for the fourth Painlevé transcendent: Clarkson-McLeod solution. Zbl 0898.34006
Its, Alexander R.; Kapaev, Andrei A.
10
1998
On the asymptotic analysis of the Painlevé equations via the isomonodromy method. Zbl 0816.34039
Its, A. R.; Fokas, A. S.; Kapaev, A. A.
7
1994
Scaling limits in the second Painlevé transcendent. Zbl 0851.34055
Kapaev, A. A.
3
1994
Scaling limits in the second Painlevé transcendent. Zbl 0868.34042
Kapaev, A. A.
2
1994
Connection formulae for the first Painlevé transcendent in the complex domain. Zbl 0777.34007
Kapaev, A. A.; Kitaev, A. V.
21
1993
Weakly nonlinear solutions of equation \(P^ 2_ 1\). Zbl 0834.34007
Kapaev, A. A.
8
1991
Essential singularity of the second-genus Painlevé function and the nonlinear Stokes phenomenon. Zbl 0834.34010
Kapaev, A. A.
3
1991
The essential singularity of the second Painlevé function and the nonlinear Stokes phenomenon. Zbl 0746.34006
Kapaev, A. A.
3
1991
Limit transition \({\mathbb{P}{}}_ 2\longrightarrow{}{\mathbb{P}{}}_ 1\). Zbl 0746.34007
Kapaev, A. A.; Kitaev, A. V.
2
1991
Weakly nonlinear solutions of the \({\mathbb{P}{}}^ 2_ 1\) equation. Zbl 0746.34008
Kapaev, A. A.
2
1991
Passage to the limit \(\mathbb{P}_ 2\longrightarrow\mathbb{P}_ 1\). Zbl 0834.34006
Kapaev, A. A.; Kitaev, A. V.
1
1991
Asymptotics of solutions of the Painlevé equation of the first kind. Zbl 0677.34052
Kapaev, A. A.
11
1988
Asymptotic expressions for the second Painlevé functions. Zbl 0692.34061
Kapaev, A. A.
7
1988
The method of isomonodromy deformations and connection formulas for the second Painlevé transcendent. Zbl 0681.34053
Its, A. R.; Kapaev, A. A.
11
1987
Two-parameter family of real solutions of the second Painlevé equation. Zbl 0643.35086
Kapaev, A. A.; Novokshenov, V. Yu.
1
1986
all top 5

Cited by 305 Authors

20 Its, Alexander Rudolfovich
13 Bertola, Marco
11 Fokas, Athanassios S.
11 Lisovyy, Oleg
10 Grava, Tamara
9 Claeys, Tom
9 Novokshenov, Viktor Yur’evich
8 Kapaev, Andrei A.
8 Xu, Shuaixia
7 Clarkson, Peter A.
7 Dubrovin, Boris Anatol’evich
7 Joshi, Nalini
7 Klein, Christian
7 Suleĭmanov, Bulat Irekovich
6 Bothner, Thomas
6 Costin, Ovidiu
6 Dai, Dan
6 Gavrylenko, Pavlo
6 Kitaev, Alexander V.
6 Kuijlaars, Arno B. J.
5 Dunne, Gerald V.
5 Fornberg, Bengt
5 Mariño, Marcos
5 Teodorescu, Razvan M.
4 Aniceto, Inês
4 Borinsky, Michael
4 Crowdy, Darren Gregory
4 Deift, Percy A.
4 Duits, Maurice
4 Korotkin, Dmitrii A.
4 Miller, Peter D.
4 Mo, Man Yue
4 Shimomura, Shun
4 Shramchenko, Vasilisa
4 Ünsal, Mithat
4 Wiegmann, Paul B.
4 Zhang, Lun
4 Zhao, Yuqiu
3 Bonelli, Giulio
3 Buckingham, Robert J.
3 Cafasso, Mattia
3 Chan, Chuantsung
3 Corwin, Ivan Z.
3 Costin, Rodica D.
3 Cotti, Giordano
3 Dassios, George
3 Deaño, Alfredo
3 Delvaux, Steven
3 Dragović, Vladimir
3 Forrester, Peter J.
3 Garoufalidis, Stavros
3 Guzzetti, Davide
3 Huang, Min
3 Irie, Hirotaka
3 Iwaki, Kohei
3 Krasovsky, Igor V.
3 Lee, Seung-Yeop
3 Lenells, Jonatan
3 Liechty, Karl
3 Mahmood, Irfan
3 Masoero, Davide
3 Schiappa, Ricardo
3 Shepelsky, Dmitry
3 Sourdis, Christos
3 Tanzini, Alessandro
3 Wong, Roderick Sue-Chuen
3 Yeh, Chi-Hsien
2 Agam, Oded
2 Aminov, G. A.
2 Babich, Mikhail Vasil’evich
2 Bettelheim, Eldad
2 Bittmann, Amaury
2 Bleher, Pavel M.
2 Bolibrukh, Andreĭ Andreevich
2 Bornemann, Folkmar A.
2 Côte, Raphaël
2 Desiraju, Harini
2 Dunst, Kamil
2 Fahs, Benjamin
2 Fan, Engui
2 Grassi, Alba
2 Guest, Martin A.
2 Hu, Weiying
2 Iorgov, Nikolai
2 Kalimeris, Konstantinos
2 Kalyakin, Leonid Anatol’evich
2 Kamata, Syo
2 Kokocki, Piotr
2 Kuroki, Tsunehide
2 Lin, Chang-Shou
2 McLaughlin, Kenneth D. T.-R.
2 Mezzadri, Francesco
2 Misumi, Tatsuhiro
2 Olver, Sheehan Shakiban
2 Pavlenko, Viktor Aleksandrovich
2 Pinotsis, Dimitrios A.
2 Prokhorov, Andrei
2 Ramis, Jean-Pierre
2 Reeger, Jonah A.
2 Roffelsen, Pieter
...and 205 more Authors
all top 5

Cited in 98 Serials

30 Communications in Mathematical Physics
22 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
19 Physica D
18 Constructive Approximation
11 Theoretical and Mathematical Physics
10 Journal of Mathematical Physics
10 Journal of High Energy Physics
8 Duke Mathematical Journal
7 Letters in Mathematical Physics
7 Nonlinearity
7 Nuclear Physics. B
6 Advances in Mathematics
5 Journal of Mathematical Analysis and Applications
5 Studies in Applied Mathematics
5 Journal of Mathematical Sciences (New York)
5 Ufimskiĭ Matematicheskiĭ Zhurnal
5 Random Matrices: Theory and Applications
4 Communications on Pure and Applied Mathematics
4 Journal of Statistical Physics
4 Journal of Geometry and Physics
4 Journal of Differential Equations
4 Annales Henri Poincaré
4 Computational Methods and Function Theory
3 Journal of Approximation Theory
3 Journal of Computational and Applied Mathematics
3 Transactions of the American Mathematical Society
3 St. Petersburg Mathematical Journal
3 Mathematical Physics, Analysis and Geometry
3 Proceedings of the Steklov Institute of Mathematics
3 Journal of Physics A: Mathematical and Theoretical
2 Archive for Rational Mechanics and Analysis
2 Physics Letters. A
2 Chaos, Solitons and Fractals
2 Annales de l’Institut Fourier
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Probability Theory and Related Fields
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Mathematical Analysis
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Nonlinear Science
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Chaos
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. B
1 Physics Reports
1 Mathematics of Computation
1 Fortschritte der Physik
1 Functional Analysis and its Applications
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of the Mathematical Society of Japan
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Transactions of the Moscow Mathematical Society
1 Advances in Applied Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Expositiones Mathematicae
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Mathematical Physics
1 Kyushu Journal of Mathematics
1 The Electronic Journal of Combinatorics
1 Selecta Mathematica. New Series
1 Discrete and Continuous Dynamical Systems
1 Séminaire Lotharingien de Combinatoire
1 Nonlinear Dynamics
1 Geometry & Topology
1 European Journal of Mechanics. B. Fluids
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Dynamical and Control Systems
1 Qualitative Theory of Dynamical Systems
1 Journal of Nonlinear Mathematical Physics
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Analysis and Applications (Singapore)
1 Journal of Statistical Mechanics: Theory and Experiment
1 Complex Variables and Elliptic Equations
1 The Journal of Prime Research in Mathematics
1 Complex Analysis and Operator Theory
1 Mathematical Modelling of Natural Phenomena
1 Advances in Mathematical Physics
1 Analysis and Mathematical Physics
1 Research in the Mathematical Sciences
1 Séminaire Laurent Schwartz. EDP et Applications
all top 5

Cited in 43 Fields

159 Ordinary differential equations (34-XX)
83 Partial differential equations (35-XX)
66 Special functions (33-XX)
52 Quantum theory (81-XX)
47 Dynamical systems and ergodic theory (37-XX)
40 Probability theory and stochastic processes (60-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
28 Functions of a complex variable (30-XX)
24 Algebraic geometry (14-XX)
21 Statistical mechanics, structure of matter (82-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
12 Approximations and expansions (41-XX)
11 Numerical analysis (65-XX)
11 Fluid mechanics (76-XX)
10 Mechanics of particles and systems (70-XX)
10 Relativity and gravitational theory (83-XX)
9 Integral equations (45-XX)
9 Operator theory (47-XX)
8 Difference and functional equations (39-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Differential geometry (53-XX)
4 Combinatorics (05-XX)
4 Integral transforms, operational calculus (44-XX)
3 Field theory and polynomials (12-XX)
3 Potential theory (31-XX)
3 Manifolds and cell complexes (57-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Statistics (62-XX)
2 Mechanics of deformable solids (74-XX)
2 Optics, electromagnetic theory (78-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Computer science (68-XX)

Citations by Year