A One-Dimensional Model for Dispersive Wave Turbulence

  title={A One-Dimensional Model for Dispersive Wave Turbulence},
  author={Andrew J. Majda and D. W. McLaughlin and Esteban G. Tabak},
A family of one-dimensional nonlinear dispersive wave equations is introduced as a model for assessing the validity of weak turbulence theory for random waves in an unambiguous and transparent fashion. These models have an explicitly solvable weak turbulence theory which is developed here, with Kolmogorov-type wave number spectra exhibiting interesting dependence on parameters in the equations. These predictions of weak turbulence theory are compared with numerical solutions with damping and… CONTINUE READING
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