Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12300
Title: Generalized projection operator method to derive the pulse parameters equations for the nonlinear Schrödinger equation
Authors: Nakkeeran, K
Wai, PKA 
Keywords: Collective variable
Lagrangian variational method
Nonlinear Schrödinger equation
Optical fibers
Ordinary differential equations
Projection operator method
Issue Date: 2005
Publisher: North-Holland
Source: Optics communications, 2005, v. 244, no. 1-6, p. 377-382 How to cite?
Journal: Optics communications 
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.
URI: http://hdl.handle.net/10397/12300
ISSN: 0030-4018
EISSN: 1873-0310
DOI: 10.1016/j.optcom.2004.09.022
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