I am interested in the Riemann-Hilbert approach to integrable systems.

Office Location: | 025 Physics Bldg |

Office Phone: | (919) 660-2832 |

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**Education:**PhD in mathematics, Duke University 2008 MS in computational physics, St.Petersburg State U., Russia 2004

**Specialties:**-
Analysis

Applied Math

**Research Interests:**My research interests include the Riemann-Hilbert approach to integrable systems (KdV, NLS, sine-Gordon) and analysis of turning points/Stokes lines in WKB method. In particular, my current project is studying analytically as well as numerically the second break of the asymptotic solution of the semiclassical focusing nonlinear Schrodinger equation (NLS). This is closely related to scattering/inverse scattering for linear operators (Schrodinger, Zakharov-Shabat) where time is a parameter.

Research Statement

**Areas of Interest:**Integrable systems

Riemann-Hilbert problems

semiclassical NLS

KdV

inverse scattering

WKB

Regge poles

**Representative Publications**- S.M. Belov, N.B. Avdonina, Z. Felfli, M. Marletta, A. Z. Msezane, S.N. Naboko,
*Semiclassical approach to Regge poles trajectories calculations for nonsingular potentials: Thomas-Fermi type*, J. Phys. A, vol. 37 no. 27 (2004), pp. 6943–6954 [MR2078324]

- S.M. Belov, N.B. Avdonina, Z. Felfli, M. Marletta, A. Z. Msezane, S.N. Naboko,