Numerical simulation of the Benjamin-Feir instability and its consequences

@article{Chalikov2007NumericalSO,
  title={Numerical simulation of the Benjamin-Feir instability and its consequences},
  author={D. Chalikov},
  journal={Physics of Fluids},
  year={2007},
  volume={19},
  pages={016602}
}
Full nonlinear equations for one-dimensional potential surface waves were used for investigation of the evolution of an initially homogeneous train of exact Stokes waves with steepness AK=0.01–0.42. The numerical algorithm for the integration of nonstationary equations and the calculation of exact Stokes waves is described. Since the instability of the exact Stokes waves develops slowly, a random small-amplitude noise was introduced in initial conditions. The development of instability occurs… Expand
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