Piecewise linear emulator of the nonlinear Schrödinger equation and the resulting analytic solutions for Bose-Einstein condensates
SourcePhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
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A most general method for finding very good analytic approximate solutions to the cubic nonlinear Schrodinger equation is presented. This method applies whenever the nonlinearity in that equation is a purely cubic one. It is most easily used when finding condensate ground states and it can be easily generalized to higher states.
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