Accession Number : ADA116214

Title :   Water Waves in a Channel of Variable Cross Section.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Zhong,Xi-Chang ; 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 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. (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