TRANSMISSION OF FAST SOLITONS FOR THE NLS WITH AN EXTERNAL POTENTIAL
National Science Foundation, Grant DMS-2137217
Abstract
We consider the dynamics of a boosted soliton evolving under the cubic NLS with an external potential. We show that for sufficiently large velocities, the soliton is effectively transmitted through the potential. This result extends work of Holmer, Marzuola, and Zworski [11], who considered the case of a delta potential with no bound states, and work of Datchev and Holmer [4], who considered the case of a delta potential with a linear bound state.
This paper has been withdrawn.
