Water waves in a channel of variable cross section
Abstract
Based upon the ray theory, we develop a systematic method to obtain an equation of KdV type with variable coefficients for the evolution of water waves in a channel of nonuniform cross section. Examples for channels with a nonuniform rectangular and triangular cross section are given. The fission of solitions in a triangular channel with a shoal is studied by the inverse scattering method and also numerically. A general Green's law for the decay of wave amplitude in a channel with arbitrary cross section is derived.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 March 1982
 Bibcode:
 1982STIN...8231650Z
 Keywords:

 Nonuniformity;
 Water Waves;
 Waterways;
 Amplitudes;
 Coefficients;
 Green'S Functions;
 Inverse Scattering;
 Numerical Analysis;
 Shoals;
 Fluid Mechanics and Heat Transfer