Nonlinear Wave Propagation
Abstract
This research effort involves the study of the nonlinear wave propagation arising in physical problems. There were a number of significant accomplishments during the period of the grant. Since January 1, 1997, 15 papers were published or accepted, 10 book chapters and papers in conference proceedings were published or accepted, 2 preprints were written and 21 invited lectures were given. Research in quadratically polarized nonlinear optical materials was carried out with novel systems of equations and new classes of stable, localized pulses obtained. Studies of discrete optical waveguides led to a new class of coupled discrete nonlinear systems and the general solution to the associated initial value problem with decaying data was obtained. Research in optical communications has yielded a number of important results including novel equations governing dispersion managed optical systems and an analytical theory governing the timing jitter and four wave mixing due to soliton collisions in NDM systems. The chaotic dynamics of a class of fluid dynamical waves, theoretically predicted by the PI based on earlier work involving numerical chaos, has been observed experimentally. A new class of reflectionless potentials of the nonstationary Schrodinger scattering problem and localized solutions of the Kadomtsev-Petviashvili equation have been obtained.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 17, 2000
- Accession Number
- ADA375402
Entities
People
- Mark J. Ablowitz
Organizations
- University of Colorado Boulder