The initialboundary value problem for the DaveyStewartson 1 equation; how to generate and drive localized coherent structures in multidimensions
Abstract
The initialboundary value problem for the DaveyStewartson 1 equation is linearized using the inverse scattering transform method. The genericity and the spectral interpretation of multidimensional localized coherent structures are established. These structures upon interaction not only exhibit a two dimensional phase shift, but also change form and exchange energy. They can be driven everywhere in the plane choosing a suitable motion of the boundaries. If this motion is not uniform, energy is lost through radiation. These are called novel, localized, coherent, traveling structures dromions, to emphasize their ability to be driven by the boundaries.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 June 1989
 Bibcode:
 1989STIN...9013756S
 Keywords:

 Boundary Value Problems;
 Grid Generation (Mathematics);
 Inverse Scattering;
 Solitary Waves;
 Two Dimensional Boundary Layer;
 Eigenvectors;
 Linearization;
 Schroedinger Equation;
 Fluid Mechanics and Heat Transfer