Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899725 | Physica D: Nonlinear Phenomena | 2010 | 7 Pages |
Abstract
We study the nonlinear Schrödinger equation with sequences of initial data that converge to a Dirac mass, and study the asymptotic behaviour of solutions. In doing so we find a connection to previously known long time asymptotics. We demonstrate a type of universality in the behaviour of solutions for real initial data, and we also show how this universality breaks down for examples of initial data that are not purely real.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J.P. Newport, K.D.T.-R. McLaughlin,