Kitaev, A. V.; Vartanian, A. Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter. (English) Zbl 07782564 J. Math. Anal. Appl. 532, No. 1, Article ID 127917, 86 p. (2024). MSC: 34M55 34D05 20F55 PDFBibTeX XMLCite \textit{A. V. Kitaev} and \textit{A. Vartanian}, J. Math. Anal. Appl. 532, No. 1, Article ID 127917, 86 p. (2024; Zbl 07782564) Full Text: DOI arXiv
Kitaev, A. V.; Vartanian, A. One-Parameter Meromorphic Solution of the Degenerate Third Painlevé Equation with Formal Monodromy Parameter \(a=\pm i/2\) Vanishing at the Origin. arXiv:2305.17278 Preprint, arXiv:2305.17278 [math.CA] (2023). MSC: 33E17 34M30 34M35 34M40 34M55 34M56 BibTeX Cite \textit{A. V. Kitaev} and \textit{A. Vartanian}, ``One-Parameter Meromorphic Solution of the Degenerate Third Painlev\'{e} Equation with Formal Monodromy Parameter $a=\pm i/2$ Vanishing at the Origin'', Preprint, arXiv:2305.17278 [math.CA] (2023) Full Text: arXiv OA License
Kitaev, Alexander V. Meromorphic solution of the degenerate third Painlevé equation vanishing at the origin. (English) Zbl 1440.34095 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 046, 53 p. (2019). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M30 34M55 34M05 PDFBibTeX XMLCite \textit{A. V. Kitaev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 046, 53 p. (2019; Zbl 1440.34095) Full Text: DOI arXiv
Joshi, Nalini; Kitaev, A. V. On Boutroux’s tritronquée solutions of the first Painlevé equation. (English) Zbl 1152.34395 Stud. Appl. Math. 107, No. 3, 253-291 (2001). MSC: 34M55 34M30 PDFBibTeX XMLCite \textit{N. Joshi} and \textit{A. V. Kitaev}, Stud. Appl. Math. 107, No. 3, 253--291 (2001; Zbl 1152.34395) Full Text: DOI
Kitaev, A. V.; Vartanian, A. H. Asymptotics of solutions to the modified nonlinear Schrödinger equation: Solitons on a nonvanishing continuous background. (English) Zbl 0958.35127 SIAM J. Math. Anal. 30, No. 4, 787-832 (1999). MSC: 35Q55 35Q15 78A60 37K40 PDFBibTeX XMLCite \textit{A. V. Kitaev} and \textit{A. H. Vartanian}, SIAM J. Math. Anal. 30, No. 4, 787--832 (1999; Zbl 0958.35127) Full Text: DOI arXiv
Kitaev, A. V.; Vartanian, A. H. Leading-order temporal asymptotics of the modified nonlinear Schrödinger equation: Solitonless sector. (English) Zbl 0883.35107 Inverse Probl. 13, No. 5, 1311-1339 (1997). MSC: 35Q55 37J35 37K10 35Q15 PDFBibTeX XMLCite \textit{A. V. Kitaev} and \textit{A. H. Vartanian}, Inverse Probl. 13, No. 5, 1311--1339 (1997; Zbl 0883.35107) Full Text: DOI arXiv
Kitaev, A. V. Elliptic asymptotics of the first and the second Painlevé transcendents. (English. Russian original) Zbl 0829.34040 Russ. Math. Surv. 49, No. 1, 81-150 (1994); translation from Usp. Mat. Nauk 49, No. 1(295), 77-146 (1994). Reviewer: V.Răsvan (Craiova) MSC: 34E05 35Q53 34M55 PDFBibTeX XMLCite \textit{A. V. Kitaev}, Russ. Math. Surv. 49, No. 1, 1 (1994; Zbl 0829.34040); translation from Usp. Mat. Nauk 49, No. 1(295), 77--146 (1994) Full Text: DOI
Kitaev, A. V. A note on the averaging for single-phase elliptic solutions of the Toda and the Volterra lattices. (English) Zbl 0812.34011 Physica D 74, No. 1-2, 45-58 (1994). MSC: 34A35 34C29 PDFBibTeX XMLCite \textit{A. V. Kitaev}, Physica D 74, No. 1--2, 45--58 (1994; Zbl 0812.34011) Full Text: DOI
Kitaev, A. V. Isomonodromic technique and elliptic asymptotic formulas for the first Painlevé transcendent. (English. Russian original) Zbl 0822.34005 St. Petersbg. Math. J. 5, No. 3, 577-605 (1994); translation from Algebra Anal. 5, No. 3, 179-211 (1993). MSC: 34M55 30D05 33C10 PDFBibTeX XMLCite \textit{A. V. Kitaev}, St. Petersbg. Math. J. 5, No. 3, 179--211 (1993; Zbl 0822.34005); translation from Algebra Anal. 5, No. 3, 179--211 (1993)
Kitaev, A. V. Isomonodromy technique and elliptic asymptotics of the first Painlevé transcendent. (Russian) Zbl 0801.34009 Algebra Anal. 5, No. 3, 179-211 (1993). Reviewer: A.Klíč (Praha) MSC: 34M55 30D05 33C10 PDFBibTeX XMLCite \textit{A. V. Kitaev}, Algebra Anal. 5, No. 3, 179--211 (1993; Zbl 0801.34009)
Kitaev, A. V. Turning points of linear systems and double asymptotics of the Painlevé transcendents. (English) Zbl 0856.34070 Levi, Decio (ed.) et al., Painlevé transcendents: their asymptotics and physical applications. Proceedings of the NATO Advanced Research Workshop, Sainte-Adèle, Canada, September 3-7, 1990. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 278, 81-96 (1992). MSC: 34E20 34A25 34M55 PDFBibTeX XMLCite \textit{A. V. Kitaev}, NATO ASI Ser., Ser. B, Phys. 278, 81--96 (1992; Zbl 0856.34070)
Kitaev, A. V. Symmetric solutions for the first and second Painlevé equations. (English. Russian original) Zbl 0834.34009 J. Math. Sci., New York 73, No. 4, 494-499 (1995); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 129-138 (1991). MSC: 34M55 34A12 34E05 PDFBibTeX XMLCite \textit{A. V. Kitaev}, J. Math. Sci., New York 73, No. 4, 494--499 (1991; Zbl 0834.34009); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 129--138 (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
Kitaev, A. V. Turning points of linear systems and the double asymptotics of the Painlevé transcendents. (English. Russian original) Zbl 0834.34005 J. Math. Sci., New York 73, No. 4, 446-459 (1995); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 53-74 (1991). MSC: 34M55 34E20 34A25 PDFBibTeX XMLCite \textit{A. V. Kitaev}, J. Math. Sci., New York 73, No. 4, 446--459 (1991; Zbl 0834.34005); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 53--74 (1991) Full Text: DOI
Kitaev, A. V. Calculation of the nonperturbative parameter in the matrix model \(\Phi^ 4\). (English. Russian original) Zbl 0834.34003 J. Math. Sci., New York 73, No. 4, 430-435 (1995); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 31-39 (1991). MSC: 34M55 34A25 34E05 PDFBibTeX XMLCite \textit{A. V. Kitaev}, J. Math. Sci., New York 73, No. 4, 430--435 (1991; Zbl 0834.34003); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 31--39 (1991) Full Text: DOI
Kitaev, A. V. The turning points of linear systems and double asymptotic lines of the Painlevé transcendents. (Russian. English summary) Zbl 0746.34011 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 53-74 (1991). MSC: 34M55 34E20 34A25 PDFBibTeX XMLCite \textit{A. V. Kitaev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 53--74 (1991; Zbl 0746.34011) Full Text: EuDML
Kitaev, A. V. Calculation of the nonperturbative parameter in the matrix model \(\Phi{}^ 4\). (Russian. English summary) Zbl 0746.34010 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 31-39 (1991). MSC: 34M55 34A25 34E05 PDFBibTeX XMLCite \textit{A. V. Kitaev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 31--39 (1991; Zbl 0746.34010) Full Text: EuDML
Kitaev, A. V. On symmetric solutions for the first and second Painlevé equations. (Russian. English summary) Zbl 0746.34009 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 129-138 (1991). MSC: 34M55 34A12 34E05 PDFBibTeX XMLCite \textit{A. V. Kitaev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 187, 129--138 (1991; Zbl 0746.34009) 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