
Accession Number : ADP004932
Title : An Analytical Model of Periodic Waves in Shallow Water  Summary,
Corporate Author : AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC NJ
Personal Author(s) : Segur,H. ; Finkel,A.
Report Date : FEB 1985
Pagination or Media Count : 12
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 shortcrested and longcrested waves are available from the model. Every wave pattern is an exact solution of the KadomtsevPetviashvili equation, and is based on a Riemann theta function of genus 2. These biperiodic waves are direct generalizations of the wellknown (simply periodic) cnoidal waves. Just as cnoidal waves are often used as onedimensional models of typical nonlinear, periodic waves in shallow water, these biperiodic waves may be considered to represent typical nonlinear, periodic waves in shallow water without the assumption of onedimensionality. (Author)
Descriptors : *MATHEMATICAL MODELS, *WATER WAVES, *SHALLOW WATER, AMPLITUDE, MARINE ENGINEERING
Distribution Statement : APPROVED FOR PUBLIC RELEASE