Transmission of fast solitons for the NLS with an external potential

DOI10.3934/DCDS.2023142arXiv2310.06769OpenAlexW4389071311MaRDI QIDQ6151763

Christopher C. Hogan, Jason Murphy

Publication date: 11 March 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.06769

zbMATH Keywords

NLSsoliton dynamicssoliton transmissionNLS with potentialsoliton-potential interactions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data
• Soliton Interaction with Slowly Varying Potentials
• Breathing patterns in nonlinear relaxation
• Fast Soliton Scattering by Attractive Delta Impurities

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