Kolmogorov spectra of weak turbulence in media with two types of interacting waves

A system of one-dimensional equations describing media with two types of interacting waves is considered. This system can be viewed as an alternative to the model introduced by Ma]da, McLaughlin and Tabak in 1997 for assessing the validity of weak turbulence theory. The predicted Kolmogorov solutions are the same in both models. The main difference between bath models is that coherent structures such as wave collapses and quasisolitons cannot develop in the present model. As shown recently these coherents structures can influence the weakly turbulent regime. It is shown here that in the absence of coherent structures weak turbulence spectra can be clearly observed numerically. (C) 2001 Elsevier Science B.V. All rights reserved.