Nonlinear Waves.
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 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 linearization of certain nonlinear wave equations, DBAR problems, Riemann Hilbert boundary value problems, algebraic methods and symmetry analysis of multidimensional system, differential geometry, etc. Of particular 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 27, 1986
- Accession Number
- ADA168934
Entities
People
- Athanssisos S. Fokas
- Mark J. Ablowitz
Organizations
- Clarkson University