paper

Steepness and spectrum of nonlinear deformed wave in shallow water

arXiv:nlin/0602051 · doi:10.1134/S0001433806060119

Abstract

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.

10 pages in Russian with English abstract