Article ID Journal Published Year Pages File Type
9786241 Optics Communications 2005 6 Pages PDF
Abstract
We present a novel projection operator method for deriving the ordinary differential equations (ODEs) which describe the pulse parameters dynamics of an ansatz function for the nonlinear Schrödinger equation. In general, each choice of the phase factor θ in the projection operator gives a different set of ODEs. For θ = 0 or π/2, we prove that the corresponding projection operator scheme is equivalent to the Lagrangian method or the bare approximation of the collective variable theory. Which set of ODEs best approximates the pulse parameter dynamics depends on the ansatz used.
Related Topics
Physical Sciences and Engineering Materials Science Electronic, Optical and Magnetic Materials
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