Laminated wave turbulence: Generic algorithms iii

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 1016 and more. Generic algorithms for solving this problem in the case of irrational dispersion function have been presented in our previous papers (corresponds to many types of water waves). In this paper, we present a new algorithm for the case of rational dispersion functions (atmospheric planetary waves, drift waves, etc.)