Sergey Belov, Graduate Student
I am interested in the Riemann-Hilbert approach to integrable systems. Please note: Sergey has left the Mathematics department at Duke University; some info here might not be up to date. - Contact Info:
Office Location: | 025 Physics Bldg | Office Phone: | (919) 660-2832 | Email Address: | | - 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
- Curriculum Vitae
- Representative Publications
(More 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]
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