TY - JOUR
T1 - Laminated Wave Turbulence: Generic Algorithms II
AU - E. Kartashova & A. Kartashov
JO - Communications in Computational Physics
VL - 4
SP - 783
EP - 794
PY - 2007
DA - 2007/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7927.html
KW - 
AB - <p style="text-align: justify;">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<sup>12 </sup>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.</p>