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. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1982
Accession Number
ADA116214

Entities

People

  • Meichang Shen
  • Xi-chang Zhong

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Coefficients
  • Contracts
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Inverse Scattering
  • Mathematics
  • Nonuniform
  • Scattering
  • Solitons
  • Three Dimensional
  • Two Dimensional
  • United States
  • Universities
  • Water Waves
  • Wisconsin

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Solar Physics