Accession Number : ADA191686

Title :   Research in Nonlinear Wave Motion.

Descriptive Note : Final rept. 15 Oct 84-30 Nov 87,

Corporate Author : AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC NJ

Personal Author(s) : Segur, Harvey

PDF Url : ADA191686

Report Date : Jan 1988

Pagination or Media Count : 138

Abstract : An important result of this research is a new model of periodic wavs of finite amplitude, propagating without change of form in shallow water. The model is analytic and deterministic, and it shows good agreement with laboratory experiments. A second important result is the development of a rigorous method to find exponentially small effects, which lie beyond all orders in conventional asymptotic expansion. Keywords: Nonlinear wave motion; Shallow water waves,; Kadomtsev-Petviashvili equation; Asymptotics beyond all orders; Integrable models.

Descriptors :   *WATER WAVES, AMPLITUDE, ASYMPTOTIC SERIES, LABORATORY TESTS, MODELS, MOTION, NONLINEAR SYSTEMS, SHALLOW WATER, NONLINEAR ANALYSIS, MATRICES(MATHEMATICS)

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE