Speaker: Prof. Anatoly Kamchatnov (Inst. of Spectroscopy, RAS, Russia)
Title: Theory of Dispersive Shocks: Application to Dynamics of Bose-Einstein Condensates
Time: 2008-03-27 (Thu.)  15:00-16:00
Abstract: In this lecture, we consider the theory of dispersive shocks which can develop, instead of well-known viscous shocks, in evolution of various physical systems, if dispersion effects dominate dissipative ones. After short discussion of examples of dispersive shocks which provide physical motivation for the theory, such modern mathematical methods as finite-gap integration method of integration of completely integrable evolution equations, Whitham modulation theory and generalized hodograph method are briefly reviewed. These methods are illustrated by application to description of dispersive shocks in evolution of Bose-Einstein condensates which is a topical subject of current research.
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