• Corpus ID: 119218659

An amplitude equation for long, nonlinear internal waves in a weak shear flow over topography

@article{Trofimov2014AnAE,
  title={An amplitude equation for long, nonlinear internal waves in a weak shear flow over topography},
  author={M. Yu. Trofimov},
  journal={arXiv: Atmospheric and Oceanic Physics},
  year={2014}
}
  • M. Trofimov
  • Published 8 July 2014
  • Environmental Science, Physics
  • arXiv: Atmospheric and Oceanic Physics
A forced, variable coefficients Kor\-te\-weg-de Vries equation for amplitudes of long, nonlinear internal waves in a stratified shear flow over topography is derived when the magnitude of the basic flow is small. The derivation is done by incorporating the basic flow in the perturbation series of the Taniuti and Wei's reductive perturbation method. Istead of the long-wave Tailor-Goldstein spectral problem, only the usual long-wave spectral problem for rested stratified media and a boundary… 

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