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- W1984545368 abstract "Abstract Using the recently reported generalized projection operator method for the nonlinear Schrodinger equation, we derive the generalized pulse parameters equations for ansatze like hyperbolic secant and raised cosine functions. In general, each choice of the phase factor θ in the projection operator gives a different set of ordinary differential equations. For θ = 0 or θ = π /2, the corresponding projection operator scheme is equivalent to the Lagrangian variation method or the bare approximation of the collective variable theory. We prove that because of the inherent symmetric property between the pulse parameters of a Gaussian ansatz results the same set of pulse parameters equations for any value of the generalized projection operator parameter θ . Finally we prove that after the substitution of the ansatze function, the Lagrange function simplifies to the same functional form irrespective of the ansatze used because of a special property shared by all the anatze chosen in this work." @default.
- W1984545368 created "2016-06-24" @default.
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- W1984545368 date "2007-02-01" @default.
- W1984545368 modified "2023-10-16" @default.
- W1984545368 title "Behavior of different ansätze in the generalized projection operator method" @default.
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- W1984545368 doi "https://doi.org/10.1016/j.chaos.2005.10.011" @default.
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