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Steepness and spectrum of nonlinear deformed shallow water wave

Exactly Solvable and Integrable Systems 2007-05-23 v1 Pattern Formation and Solitons

Abstract

Process of the nonlinear deformation of the shallow water wave in a basin of constant depth is studied. The characteristics of the first breaking are analyzed in details. The Fourier spectrum and steepness of the nonlinear wave is calculated. It is shown that spectral amplitudes can be expressed through the wave front steepness, and this can be used for practical estimations.

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Cite

@article{arxiv.nlin/0601052,
  title  = {Steepness and spectrum of nonlinear deformed shallow water wave},
  author = {Narcisse Zahibo and Irina Didenkulova and Andrey Kurkin and Efim Pelinovsky},
  journal= {arXiv preprint arXiv:nlin/0601052},
  year   = {2007}
}

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13 pages