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Averaging of nonlinearity management with dissipation
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Beheshti, S., Law, K. J. H., Kevrekidis, P. and Porter, Mason (2008) Averaging of nonlinearity management with dissipation. Physical Review A, Vol.78 (No.2). Article no. 025805 . doi:10.1103/PhysRevA.78.025805 ISSN 1050-2947.
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Official URL: http://dx.doi.org/10.1103/PhysRevA.78.025805
Abstract
Motivated by recent experiments in optics and atomic physics, we derive an averaged nonlinear partial differential equation describing the dynamics of the complex field in a nonlinear Schrödinger model in the presence of a periodic nonlinearity and a periodically varying dissipation coefficient. The incorporation of dissipation in our model is motivated by experimental considerations. We test the numerical behavior of the derived averaged equation by comparing it to the original nonautonomous model in a prototypical case scenario and observe good agreement between the two.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Physical Review A | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1050-2947 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.78 | ||||
Number: | No.2 | ||||
Page Range: | Article no. 025805 | ||||
DOI: | 10.1103/PhysRevA.78.025805 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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