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On Integrability of Nonautonomous Nonlinear Schroedinger Equations

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Prof. Sergei Suslov (Arizona State University, USA), 24 October 201, 4 pm, RISC seminar room
When Oct 24, 2011
from 04:00 PM to 06:00 PM
Where RISC seminar room
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On Integrability of Nonautonomous Nonlinear Schroedinger Equations

We show, in general, how to transform the nonautonomous nonlinear Schroedinger equation with quadratic Hamiltonians into the standard autonomous form that is completely integrable by the familiar inverse scattering method in nonlinear science. Derivation of the corresponding equivalent nonisospectral Lax pair is also outlined. A few simple integrable systems are discussed.