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

F. Dias, P. Guyenne, V. E. Zakharov

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

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 Majda, 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 both 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.

Original languageEnglish (US)
Pages (from-to)139-145
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume291
Issue number2-3
DOIs
StatePublished - Dec 3 2001

Keywords

  • Dispersive waves
  • Kolmogorov spectra
  • Weak turbulence

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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