TRANSMISSION OF FAST SOLITONS FOR THE NLS WITH AN EXTERNAL POTENTIAL

Author

Christopher C. Hogan
Jason Murphy, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

C. C. Hogan and J. Murphy, "TRANSMISSION OF FAST SOLITONS FOR THE NLS WITH AN EXTERNAL POTENTIAL," Discrete and Continuous Dynamical Systems- Series A, vol. 44, no. 5, pp. 1166 - 1177, American Institute of Mathematical Sciences (AIMS), May 2024.

The definitive version is available at https://doi.org/10.3934/dcds.2023142

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant DMS-2137217

Keywords and Phrases

NLS; NLS with potential; soliton dynamics; soliton transmission; soliton-potential interactions

International Standard Serial Number (ISSN)

1553-5231; 1078-0947

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 American Institute of Mathematical Sciences (AIMS), All rights reserved.

Publication Date

01 May 2024