@**article**{RISC3021,author = {E. Kartashova and A. Kartashov},

title = {{Laminated wave turbulence: generic algorithms III}},

language = {english},

abstract = {Model of laminated wave turbulence allows to study statistical and
discrete layers of turbulence in the frame of the same model.
Statistical layer is described by Zakharov-Kolmogorov energy spectra
in the case of irrational enough dispersion function. Discrete layer
is covered by some system(s) of Diophantine equations while their
form is determined by wave dispersion function. This presents a very
special computational challenge - to solve Diophantine equations in
many variables, usually 6 to 8, in high degrees, say 16, in integers
of order $10^{16}$ and more. Generic
algorithms for solving this problem in the case of
{\it irrational} dispersion function have been
presented in our previous papers. In this paper we present a new
algorithm for the case of {\it rational} dispersion functions.
Special importance of this case is due to the fact that in wave
systems with rational dispersion the statistical layer does not
exist and the general energy transport is governed by the discrete
layer alone.},

journal = {Physica A: Statistical Mechanics and Its Applications},

volume = {380},

pages = {66--74},

publisher = {Elsevier},

isbn_issn = {0378-4371 (print)},

year = {2007},

refereed = {yes},

length = {9},

url = {http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVG-4N6NJXF-5&_user=10&_coverDate=03%2F07%2F2007&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=9180e0bcb1f36c878e413ec1b5936797}

}