Grava, Tamara; Kapaev, Andrei; Klein, Christian On the tritronquée solutions of \(\mathrm{P}_{\mathrm{I}}^2\). (English) Zbl 1326.34136 Constr. Approx. 41, No. 3, 425-466 (2015). Reviewer: Sergei V. Rogosin (Minsk) MSC: 34M55 34E10 34M50 PDFBibTeX XMLCite \textit{T. Grava} et al., Constr. Approx. 41, No. 3, 425--466 (2015; Zbl 1326.34136) Full Text: DOI arXiv
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos Asymptotics of the instantons of Painlevé I. (English) Zbl 1245.34087 Int. Math. Res. Not. 2012, No. 3, 561-606 (2012). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M55 34M30 34M40 34M25 PDFBibTeX XMLCite \textit{S. Garoufalidis} et al., Int. Math. Res. Not. 2012, No. 3, 561--606 (2012; Zbl 1245.34087) Full Text: DOI arXiv
Kapaev, A. A. Quasi-linear Stokes phenomenon for the Painlevé first equation. (English) Zbl 1080.34071 J. Phys. A, Math. Gen. 37, No. 46, 11149-11167 (2004). Reviewer: Chaman Lal Koul (Jaipur) MSC: 34M40 34M55 PDFBibTeX XMLCite \textit{A. A. Kapaev}, J. Phys. A, Math. Gen. 37, No. 46, 11149--11167 (2004; Zbl 1080.34071) Full Text: DOI arXiv
Its, A. R.; Kapaev, A. A. The nonlinear steepest descent approach to the asymptotics of the second Painlevé transcendent in the complex domain. (English) Zbl 1047.34104 Kashiwara, Masaki (ed.) et al., MathPhys odyssey 2001. Integrable models and beyond. In honor of Barry M. McCoy, dedicated to his 60th birthday. Boston: Birkhäuser (ISBN 0-8176-4260-9). Prog. Math. Phys. 23, 273-311 (2002). Reviewer: John Schmeelk (Doha) MSC: 34M55 34M30 34M50 PDFBibTeX XMLCite \textit{A. R. Its} and \textit{A. A. Kapaev}, Prog. Math. Phys. 23, 273--311 (2002; Zbl 1047.34104) Full Text: arXiv
Kapaev, Andrei A. Monodromy deformation approach to the scaling limit of the Painlevé first equation. (English) Zbl 1029.34083 Kuznetsov, V. B. (ed.), The Kowalevski property. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 32, 157-179 (2002). Reviewer: A.Pickering (Salamanca) MSC: 34M55 34M60 34M40 34M30 PDFBibTeX XMLCite \textit{A. A. Kapaev}, in: The Kowalevski property. Providence, RI: American Mathematical Society (AMS). 157--179 (2002; Zbl 1029.34083) Full Text: arXiv
Its, A. R.; Kapaev, A. A. The irreducibility of the second Painlevé equation and the isomonodromy method. (English) Zbl 1048.34149 Howls, Christopher J. (ed.) et al., Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30–December 5, 1998. Kyoto: Kyoto University Press (ISBN 4-87698-089-6). 209-222 (2000). Reviewer: Kyoichi Takano (Kobe) MSC: 34M55 PDFBibTeX XMLCite \textit{A. R. Its} and \textit{A. A. Kapaev}, in: Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30--December 5, 1998. Kyoto: Kyoto University Press. 209--222 (2000; Zbl 1048.34149)
Kapaev, A. A. Scaling limits in the second Painlevé transcendent. (English. Russian original) Zbl 0868.34042 J. Math. Sci., New York 83, No. 1, 38-61 (1997); translation from Zap. Nauchn. Semin. POMI 209, 60-101 (1994). MSC: 34E05 81Q05 34M55 PDFBibTeX XMLCite \textit{A. A. Kapaev}, J. Math. Sci., New York 83, No. 1, 60--101 (1994; Zbl 0868.34042); translation from Zap. Nauchn. Semin. POMI 209, 60--101 (1994) Full Text: DOI
Kapaev, A. A. Scaling limits in the second Painlevé transcendent. (Russian. English summary) Zbl 0851.34055 Zap. Nauchn. Semin. POMI 209, 60-101 (1994). MSC: 34E05 81Q05 34M55 PDFBibTeX XMLCite \textit{A. A. Kapaev}, Zap. Nauchn. Semin. POMI 209, 60--101 (1994; Zbl 0851.34055) Full Text: EuDML
Kapaev, A. A. Essential singularity of the second-genus Painlevé function and the nonlinear Stokes phenomenon. (English. Russian original) Zbl 0834.34010 J. Math. Sci., New York 73, No. 4, 500-517 (1995); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 139-170 (1991). MSC: 34M55 34M40 34E05 PDFBibTeX XMLCite \textit{A. A. Kapaev}, J. Math. Sci., New York 73, No. 4, 500--517 (1991; Zbl 0834.34010); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 139--170 (1991) Full Text: DOI
Kapaev, A. A. Weakly nonlinear solutions of equation \(P^ 2_ 1\). (English. Russian original) Zbl 0834.34007 J. Math. Sci., New York 73, No. 4, 468-481 (1995); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 88-109 (1991). MSC: 34M55 34A25 PDFBibTeX XMLCite \textit{A. A. Kapaev}, J. Math. Sci., New York 73, No. 4, 468--481 (1991; Zbl 0834.34007); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 88--109 (1991) Full Text: DOI
Kapaev, A. A.; Kitaev, A. V. Passage to the limit \(\mathbb{P}_ 2\longrightarrow\mathbb{P}_ 1\). (English. Russian original) Zbl 0834.34006 J. Math. Sci., New York 73, No. 4, 460-467 (1995); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 75-87 (1991). MSC: 34M55 34A25 PDFBibTeX XMLCite \textit{A. A. Kapaev} and \textit{A. V. Kitaev}, J. Math. Sci., New York 73, No. 4, 460--467 (1991; Zbl 0834.34006); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 75--87 (1991) Full Text: DOI
Kapaev, A. A. Weakly nonlinear solutions of the \({\mathbb{P}{}}^ 2_ 1\) equation. (Russian. English summary) Zbl 0746.34008 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 88-109 (1991). MSC: 34M55 34A25 PDFBibTeX XMLCite \textit{A. A. Kapaev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 88--109 (1991; Zbl 0746.34008) Full Text: EuDML
Kapaev, A. A.; Kitaev, A. V. Limit transition \({\mathbb{P}{}}_ 2\longrightarrow{}{\mathbb{P}{}}_ 1\). (Russian. English summary) Zbl 0746.34007 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 75-87 (1991). MSC: 34M55 34A25 PDFBibTeX XMLCite \textit{A. A. Kapaev} and \textit{A. V. Kitaev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 75--87 (1991; Zbl 0746.34007) Full Text: EuDML
Kapaev, A. A. The essential singularity of the second Painlevé function and the nonlinear Stokes phenomenon. (Russian. English summary) Zbl 0746.34006 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 139-170 (1991). MSC: 34M55 34E05 PDFBibTeX XMLCite \textit{A. A. Kapaev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 139--170 (1991; Zbl 0746.34006) Full Text: EuDML
Kapaev, A. A. Asymptotics of solutions of the Painlevé equation of the first kind. (English. Russian original) Zbl 0677.34052 Differ. Equations 24, No. 10, 1107-1115 (1988); translation from Differ. Uravn. 24, No. 10, 1684-1695 (1988). Reviewer: I.Dorfman MSC: 34E05 34E20 34L99 PDFBibTeX XMLCite \textit{A. A. Kapaev}, Differ. Equations 24, No. 10, 1107--1115 (1988; Zbl 0677.34052); translation from Differ. Uravn. 24, No. 10, 1684--1695 (1988)