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Bibliographic Details
Main Authors:	Hogan, Christopher C., Murphy, Jason
Format:	Preprint
Published:	2023
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2310.06769
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author	Hogan, Christopher C. Murphy, Jason
author_facet	Hogan, Christopher C. Murphy, Jason
contents	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, who considered the case of a delta potential with no bound states, and work of Datchev and Holmer, who considered the case of a delta potential with a linear bound state.
format	Preprint
id	arxiv_https___arxiv_org_abs_2310_06769
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	Transmission of fast solitons for the NLS with an external potential Hogan, Christopher C. Murphy, Jason Analysis of PDEs 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, who considered the case of a delta potential with no bound states, and work of Datchev and Holmer, who considered the case of a delta potential with a linear bound state.
title	Transmission of fast solitons for the NLS with an external potential
topic	Analysis of PDEs
url	https://arxiv.org/abs/2310.06769

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