McCowan's Solitary Wave Expansions

Abstract

In 1894 McCowan proposed that the structure of solitary waves be represented by a certain series expansion; but he gave an estimate for only the first term of this expansion. Any truncation of such an expansion compromises the essential ideal of the steadiness of a solitary wave; also, the approximations which he adopted might not be the best ones for the diverse particular purposes for which this wave may be used. In the paper a more precise structure of this wave is constructed by implementing McCowan's expansion to higher orders. The coefficients in this expansion are determined by minimizing a certain reasonable measure of the imperfection of this expansion. This minimization is done by using the FNMIN subroutine.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0750565

Entities

People

  • Serge J. Zaroodny

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Coefficients
  • Computational Science
  • Coordinate Systems
  • Delaware
  • Equations
  • Fluid Mechanics
  • Fluids
  • Mechanics
  • Procedures (Computers)
  • Solitons
  • Truncation
  • Two Dimensional
  • Universities
  • Water Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.