Abstract
We solve an initial-boundary value problem for the Davey-Stewartson equation, a multidimensional analog of the nonlinear Schrödinger equation. It is shown that for large time, an arbitrary initial disturbance will, in general, decompose into a number of two-dimensional coherent structures. These structures exhibit interesting novel features not found in one-dimensional solitons.
- Received 29 November 1988
DOI:https://doi.org/10.1103/PhysRevLett.63.1329
©1989 American Physical Society
