@**article**{RISC2984,author = {E. Kartashova and A. Kartashov},

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

language = {english},

abstract = {The model of laminated wave turbulence puts forth a novel
computational problem - construction of fast algorithms for finding
exact solutions of Diophantine equations in integers of order
$10^{12}$ and more. The equations to be solved in integers are
resonant conditions for nonlinearly interacting waves and their form
is defined by the wave dispersion. It is established that for the
most common dispersion as an arbitrary function of a wave-vector
length two different generic algorithms are necessary: (1)
one-class-case algorithm for waves interacting through scales, and
(2) two-class-case algorithm for waves interacting through phases.
In our previous paper we described the one-class-case generic
algorithm and in our present paper we present the two-class-case
generic algorithm.},

journal = {CiCP (Communications in Computational Physics)},

volume = {2},

number = {4},

pages = {783--794},

isbn_issn = {ISSN 1815-2406 (print), 1991-7120 (electronic)},

year = {2007},

refereed = {yes},

length = {12},

url = {http://global-sci.com/}

}