Research Interests for Sergey Belov

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

1. 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]