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

Report Date:

1988-01-01

Pagination or Media Count:

138.0

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