Sergey Belov, Graduate Student

Sergey Belov

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

Office Location:  025 Physics Bldg
Office Phone:  (919) 660-2832
Email Address: send me a message

Education:

PhD in mathematics, Duke University2008
MS in computational physics, St.Petersburg State U., Russia2004
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

  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]