Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin Semiclassical focusing nonlinear Schrödinger equation in the pure radiation case: Riemann-Hilbert problem approach. (English) Zbl 1158.35092 Baik, Jinho (ed.) et al., Integrable systems and random matrices. In honor of Percy Deift. Conference on integrable systems, random matrices, and applications in honor of Percy Deift’s 60th birthday, New York, NY, USA, May 22–26, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4240-9/pbk). Contemporary Mathematics 458, 117-144 (2008). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B40 35A30 PDFBibTeX XMLCite \textit{A. Tovbis} et al., Contemp. Math. 458, 117--144 (2008; Zbl 1158.35092)
Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin Semiclassical focusing nonlinear Schrödinger equation. I: Inverse scattering map and its evolution for radiative initial data. (English) Zbl 1142.35089 Int. Math. Res. Not. 2007, No. 22, Article ID rnm094, 54 p. (2007). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35Q55 35P25 35Q15 35B40 PDFBibTeX XMLCite \textit{A. Tovbis} et al., Int. Math. Res. Not. 2007, No. 22, Article ID rnm094, 54 p. (2007; Zbl 1142.35089) Full Text: DOI
Buckingham, Robert; Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin The semiclassical focusing nonlinear Schrödinger equation. (English) Zbl 1142.35083 Bonilla, L. L. (ed.) et al., Recent advances in nonlinear partial differential equations and applications. Conference in honor of Peter D. Lax and Louis Nirenberg on their 80th birthdays, Toledo, Spain, June 7–10, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4211-9/hbk). Proceedings of Symposia in Applied Mathematics 65, 47-80 (2007). Reviewer: Bogdan G. Nita (Upper Montclair) MSC: 35Q55 35B40 78M35 35-02 PDFBibTeX XMLCite \textit{R. Buckingham} et al., Proc. Symp. Appl. Math. 65, 47--80 (2007; Zbl 1142.35083)
Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: pure radiation case. (English) Zbl 1115.35127 Commun. Pure Appl. Math. 59, No. 10, 1379-1432 (2006). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 35Q55 35B40 35Q15 37K15 PDFBibTeX XMLCite \textit{A. Tovbis} et al., Commun. Pure Appl. Math. 59, No. 10, 1379--1432 (2006; Zbl 1115.35127) Full Text: DOI
Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation. (English) Zbl 1060.35137 Commun. Pure Appl. Math. 57, No. 7, 877-985 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q55 81Q05 81Q20 PDFBibTeX XMLCite \textit{A. Tovbis} et al., Commun. Pure Appl. Math. 57, No. 7, 877--985 (2004; Zbl 1060.35137) Full Text: DOI