On Integrability of Nonautonomous Nonlinear Schroedinger Equations

Details On Integrability of Nonautonomous Nonlinear Schroedinger Equations On Integrability of Nonautonomous Nonlinear Schroedinger Equations

2010-12-16

arxiv.org/abs/1012.3661v3

Physics

Mathematical Physics

15 pages, no figures

Scientific paper

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 outlined. A few simple integrable systems are discussed.

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