Chen, Shuyan; Yan, Zhenya; Guo, Boling Long-time asymptotics for the focusing Hirota equation with non-zero boundary conditions at infinity via the Deift-Zhou approach. (English) Zbl 1477.35110 Math. Phys. Anal. Geom. 24, No. 2, Paper No. 17, 37 p. (2021). MSC: 35Q15 37K40 37K15 35B40 41A60 14K25 35Q60 PDF BibTeX XML Cite \textit{S. Chen} et al., Math. Phys. Anal. Geom. 24, No. 2, Paper No. 17, 37 p. (2021; Zbl 1477.35110) Full Text: DOI OpenURL
Ma, Wen-Xiu Long-time asymptotics of a three-component coupled nonlinear Schrödinger system. (English) Zbl 1440.35308 J. Geom. Phys. 153, Article ID 103669, 27 p. (2020). MSC: 35Q55 35Q15 37K10 37K20 35B40 35B05 65K05 15A18 PDF BibTeX XML Cite \textit{W.-X. Ma}, J. Geom. Phys. 153, Article ID 103669, 27 p. (2020; Zbl 1440.35308) Full Text: DOI OpenURL
Kamvissis, Spyridon; Shepelsky, Dmitry; Zielinski, Lech Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation. (English) Zbl 1420.35364 J. Nonlinear Math. Phys. 22, No. 3, 448-473 (2015). MSC: 35Q55 35Q15 37K10 37K40 PDF BibTeX XML Cite \textit{S. Kamvissis} et al., J. Nonlinear Math. Phys. 22, No. 3, 448--473 (2015; Zbl 1420.35364) Full Text: DOI arXiv OpenURL
Trogdon, Thomas On the application of GMRES to oscillatory singular integral equations. (English) Zbl 1319.47070 BIT 55, No. 2, 591-620 (2015). Reviewer: Juan Bory Reyes (Santiago de Cuba) MSC: 47N40 30E20 35Q15 PDF BibTeX XML Cite \textit{T. Trogdon}, BIT 55, No. 2, 591--620 (2015; Zbl 1319.47070) Full Text: DOI arXiv OpenURL
Budylin, A. M.; Buslaev, V. S. Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. (English. Russian original) Zbl 1307.35179 Funct. Anal. Appl. 48, No. 1, 1-14 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 1-18 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 35Q55 35B40 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Funct. Anal. Appl. 48, No. 1, 1--14 (2014; Zbl 1307.35179); translation from Funkts. Anal. Prilozh. 48, No. 1, 1--18 (2014) Full Text: DOI OpenURL
Do, Yen; Gressman, Philip T. An operator van der Corput estimate arising from oscillatory Riemann-Hilbert problems. (English) Zbl 1304.35472 J. Funct. Anal. 267, No. 12, 4775-4805 (2014). MSC: 35Q15 37K10 PDF BibTeX XML Cite \textit{Y. Do} and \textit{P. T. Gressman}, J. Funct. Anal. 267, No. 12, 4775--4805 (2014; Zbl 1304.35472) Full Text: DOI arXiv OpenURL
Wang, Jun; Qiu, Weiyuan; Wong, R. Global asymptotics for Meixner-Pollaczek polynomials with a varying parameter. (English) Zbl 1302.33012 Stud. Appl. Math. 130, No. 4, 345-392 (2013). MSC: 33C45 PDF BibTeX XML Cite \textit{J. Wang} et al., Stud. Appl. Math. 130, No. 4, 345--392 (2013; Zbl 1302.33012) Full Text: DOI OpenURL
Do, Yen A nonlinear stationary phase method for oscillatory Riemann-Hilbert problems. (English) Zbl 1222.35138 Int. Math. Res. Not. 2011, No. 12, 2650-2765 (2011). Reviewer: Zywomir Dinew (Kraków) MSC: 35Q15 PDF BibTeX XML Cite \textit{Y. Do}, Int. Math. Res. Not. 2011, No. 12, 2650--2765 (2011; Zbl 1222.35138) Full Text: DOI arXiv Link OpenURL
Kokilashvili, Vakhtang; Paatashvili, Vakhtang The Riemann-Hilbert problem in a domain with piecewise smooth boundaries in weight classes of Cauchy type integrals with a density from variable exponent Lebesgue spaces. (English) Zbl 1215.47027 Georgian Math. J. 16, No. 4, 737-755 (2009). Reviewer: Stefan G. Samko (Faro) MSC: 47B38 30E20 30E25 42B20 45P05 PDF BibTeX XML Cite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Georgian Math. J. 16, No. 4, 737--755 (2009; Zbl 1215.47027) Full Text: Link OpenURL
Kokilashvili, Vakhtang; Paatashvili, Vakhtang The Riemann-Hilbert problem in weighted classes of Cauchy type integrals with density from \(L^{P(\cdot)}(\Gamma)\). (English) Zbl 1193.47036 Complex Anal. Oper. Theory 2, No. 4, 569-591 (2008). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 47B38 30E20 30E25 42B20 45P05 PDF BibTeX XML Cite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Complex Anal. Oper. Theory 2, No. 4, 569--591 (2008; Zbl 1193.47036) Full Text: DOI OpenURL
McLaughlin, K. T.-R.; Miller, P. D. The \(\bar{\partial}\) steepest descent method for orthogonal polynomials on the real line with varying weights. (English) Zbl 1157.42007 Int. Math. Res. Not. 2008, Article ID rnn075, 66 p. (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 41A60 35Q15 30E25 PDF BibTeX XML Cite \textit{K. T. R. McLaughlin} and \textit{P. D. Miller}, Int. Math. Res. Not. 2008, Article ID rnn075, 66 p. (2008; Zbl 1157.42007) Full Text: DOI arXiv Link OpenURL
Kokilashvili, Vakhtang A survey of recent results of Georgian mathematicians on boundary value problems for holomorphic functions. (English) Zbl 0994.30023 Mem. Differ. Equ. Math. Phys. 23, 85-138 (2001). Reviewer: Sergei V.Rogosin (Minsk) MSC: 30E20 35Q15 45E05 42B20 46E40 30C35 26A39 35C05 35J25 PDF BibTeX XML Cite \textit{V. Kokilashvili}, Mem. Differ. Equ. Math. Phys. 23, 85--138 (2001; Zbl 0994.30023) OpenURL
Varzugin, G. G. Asymptotics of oscillatory Riemann-Hilbert problems. (English) Zbl 0860.35091 J. Math. Phys. 37, No. 11, 5869-5892 (1996). MSC: 35Q15 35B05 35Q53 37J35 37K10 PDF BibTeX XML Cite \textit{G. G. Varzugin}, J. Math. Phys. 37, No. 11, 5869--5892 (1996; Zbl 0860.35091) Full Text: DOI OpenURL
Deift, P. A.; Zhou, X. Asymptotics for the Painlevé II equation. (English) Zbl 0869.34047 Commun. Pure Appl. Math. 48, No. 3, 277-337 (1995). Reviewer: Y.V.Rogovchenko (Firenze) MSC: 34E05 34M55 34M50 34A34 34A55 PDF BibTeX XML Cite \textit{P. A. Deift} and \textit{X. Zhou}, Commun. Pure Appl. Math. 48, No. 3, 277--337 (1995; Zbl 0869.34047) Full Text: DOI OpenURL
Deift, P.; Venakides, S.; Zhou, X. The collisionless shock region for the long-time behavior of solutions of the KdV equation. (English) Zbl 0797.35143 Commun. Pure Appl. Math. 47, No. 2, 199-206 (1994). Reviewer: P.Deift (New York) MSC: 35Q53 35B40 76L05 35Q15 PDF BibTeX XML Cite \textit{P. Deift} et al., Commun. Pure Appl. Math. 47, No. 2, 199--206 (1994; Zbl 0797.35143) Full Text: DOI OpenURL