
Accession Number : ADA116214
Title : Water Waves in a Channel of Variable Cross Section.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Zhong,XiChang ; Shen,M C
PDF Url : ADA116214
Report Date : Mar 1982
Pagination or Media Count : 32
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. (Author)
Descriptors : *Numerical analysis, *Inverse scattering, *Water waves, Evolution(General), Theory, Coefficients, Variables, Channels(Waterways), Cross sections, Theory, Nonuniform, Amplitude
Subject Categories : Numerical Mathematics
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE