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Stochasticity in numerical solutions of the nonlinear Schroedinger equationThe cubically nonlinear Schroedinger equation is an important model of nonlinear phenomena in fluids and plasmas. Numerical solutions in a spatially periodic system commonly involve truncation to a finite number of Fourier modes. These solutions are found to be stochastic in the sense that the largest Liapunov exponent is positive. As the number of modes is increased, the size of this exponent appears to converge to zero, in agreement with the recent demonstration of the integrability of the spatially periodic case.
Document ID
19880029136
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Shen, Mei-Mei
(Iowa Univ. Iowa City, IA, United States)
Nicholson, D. R.
(Iowa, University Iowa City, United States)
Date Acquired
August 13, 2013
Publication Date
October 1, 1987
Publication Information
Publication: Physics of Fluids
Volume: 30
ISSN: 0031-9171
Subject Category
Numerical Analysis
Accession Number
88A16363
Funding Number(s)
CONTRACT_GRANT: NSF ATM-86-06416
CONTRACT_GRANT: NSG-7632
CONTRACT_GRANT: NSF ATM-85-03116
Distribution Limits
Public
Copyright
Other

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