Accession Number:

ADA179077

Title:

Nonlinear Waves.

Descriptive Note:

Final rept.,

Corporate Author:

CLARKSON UNIV POTSDAM NY DEPT OF MATHEMATICS AND COMPUTER SCIENCE

Report Date:

1987-01-31

Pagination or Media Count:

227.0

Abstract:

The central theme involved in this work is the continuing study of certain fundamental features associated with the nonlinear wave propagation arising in and motivated by physical problems. The usefulness of the work is attested to by the varied applications, and wide areas of interest in physics, engineering and mathematics. The work accomplished in our overall program of study involves wave propagation in a number of areas including fluid mechanics, plasma physics, theoretical physics statistical mechanics, nonlinear optics, multidimensional solitons, multidimensional inverse problems, Painleve equations, direct linearizations of certain nonlinear wave equations, direct linearizations of certain nonlinear wave equations, DBAR problems, Riemann-Hilbert boundary value problems, algebraic methods and symmetry analysis of multidimensional systems, differential geometry, etc. Of partical interest to the Navy is the recent discovery that many of the equations describing ship hydrodynamics in channels of finite depth obey nonlinear equations which have been studied extensively by our group. Similar statements are also true for many important equations arising in the study of digital communication via solitons.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE