Accession Number:

ADP004932

Title:

An Analytical Model of Periodic Waves in Shallow Water - Summary,

Descriptive Note:

Corporate Author:

AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC NJ

Personal Author(s):

Report Date:

1985-02-01

Pagination or Media Count:

12.0

Abstract:

An explicit, analytical model is presented of finite amplitude waves in shallow water. The waves in question have two independent spatial periods, in two independent horizontal directions. Both short-crested and long-crested waves are available from the model. Every wave pattern is an exact solution of the Kadomtsev-Petviashvili equation, and is based on a Riemann theta function of genus 2. These bi-periodic waves are direct generalizations of the well-known simply periodic cnoidal waves. Just as cnoidal waves are often used as one-dimensional models of typical nonlinear, periodic waves in shallow water, these bi-periodic waves may be considered to represent typical nonlinear, periodic waves in shallow water without the assumption of one-dimensionality. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE