Publications

Full list of Publications:  MathSciNet
Selected Publications

1. Bertola, M.; Katsevich, A.; and and Tovbis A., Singular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann-Hilbert problem approach Comm. Pure Appl. Math., Accepted
2. Bertola, M.; Tovbis, A., Universality for the focusing nonlinear Schrödinger equation at the gradient catastrophe point: rational breathers and poles of the tritronquée solution to Painlevé I. Comm. Pure Appl. Math. 66 (2013), no. 5, 678–752.
3. Bertola, M.; Katsevich, A.; Tovbis, A., Inversion formulae for the cosh-weighted Hilbert transform. Proc. Amer. Math. Soc. 141 (2013), no. 8, 2703–2718.
4. R. H. J. Grimshaw and A. Tovbis, Rogue waves: analytical predictions, Proc. R. Soc. A, 469 (2013), 20130094.
5. Tovbis, A.; Venakides, S.; Zhou, X., On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation. Comm. Pure Appl. Math. 57 (2004), no. 7, 877–985