Techniques and instabilities for 1+1 and 2+1 dimensional integrable partial differential equations.

We study the semiclassical limit of the 1+1 dimensional initial value problems in the focusing nonlinear Schrodinger (NLS) hierarchy, and establish a rigorous connection of odd flows in this hierarchy to all the members of the Korteweg-de Vries (KdV) hierarchy in the same limit. We also demonstrate...

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Bibliographic Details
Main Author: MacEvoy, Warren Douglas.
Other Authors: Levermore, Charles D.
Language:en
Published: The University of Arizona. 1994
Online Access:http://hdl.handle.net/10150/187015