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 K-dV 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