Accession Number:

AD0602824

Title:

A THEORY OF SMALL-AMPLITUDE LONG WAVES.

Descriptive Note:

Technical rept. nos. 16 and 19,

Corporate Author:

JOHNS HOPKINS UNIV BALTIMORE MD

Personal Author(s):

Report Date:

1964-06-01

Pagination or Media Count:

24.0

Abstract:

A theory of small-amplitude, long, water waves is developed by expansion in terms of the two small parameters involved. The first approximation is required to be the familiar equations of infinitesimal, long waves. An investigation is made of the accuracy of the classical equations of finite-amplitude, hydrostatic disturbances. It appears that the simple hydrostatic approximation neglects terms which are just as important as those retained, although in certain cases the equations of hydrostatic disturbances may be useful to predict developments for limited periods of time. The first few sets of differential equations are integrated in a special case. The study leads to the derivation of the properties of a new kind of finiteamplitude, long wave. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE