Steepness and spectrum of nonlinear deformed wave in shallow water

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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10 pages in Russian with English abstract

Scientific paper

10.1134/S0001433806060119

Process of the nonlinear deformation of the surface wave in shallow water is
studied. Main attention is paid to the relation between the Fourier-spectrum
and wave steepness. It is shown that the spectral harmonics of the initially
sine wave can be expressed through the wave steepness, and this is important
for applications.

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