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  • Ain A Sonin
  • 2004
This article introduces a generalization of dimensional analysis and its corollary, the Pi-theorem, to the class of problems in which some of the quantities that define the problem have fixed values in all the cases that are of interest. The procedure can reduce the number of dimensionless similarity variables beyond the prediction of Buckingham's theorem.(More)
The problem of nonlinear pulse propagation near the zero-dispersion wavelength (ZDW) in optical fibers is investigated theoretically using asymptotic and numerical methods. The analysis is based on the modified nonlinear Schridinger (MNLS) equation that governs the envelope of a wave packet near the ZDW. The MNLS equation modifies the nonlinear Schr6dinger(More)
Over the past several years, it has been recognized that a new class of solitary waves can propagate in nonlinear dispersive wave systems if the phase speed of linear waves attains a local extremum at some finite wavenumber. Near such a point, solitary waves in the form of small-amplitude wavepackets can be obtained for which the phase speed of the carrier(More)
The author hereby grants to MIT permission to reproduce and distribute publicly paper and electronic copies of this thesis document in whole or in part, and to grant others the right to do so. Abstract In this thesis, we explore the variability of the output produced by a deterministic processing time two-machine finite buffer line with unreliable machines.(More)
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