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SubmittedOpen Access (License Unspecified), Open
Journal article
Spectral analysis for matrix Hamiltonian operators
Nonlinearity, v 24(2), pp 389-429
01 Feb 2011
Abstract
In this work, we study the spectral properties of matrix Hamiltonians generated by linearizing the nonlinear Schrodinger equation about soliton solutions. By a numerically assisted proof, we show that there are no embedded eigenvalues for the three dimensional cubic equation. Although we focus on a proof of the 3D cubic problem, this work presents a new algorithm for verifying certain spectral properties needed to study soliton stability.
Source code for verification of our computations, and for further experimentation, is available at http://hdl.handle.net/1807/25174.
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Details
- Title
- Spectral analysis for matrix Hamiltonian operators
- Creators
- Jeremy L. Marzuola - University of North Carolina at Chapel HillGideon Simpson - University of Toronto
- Publication Details
- Nonlinearity, v 24(2), pp 389-429
- Publisher
- Iop Publishing Ltd
- Number of pages
- 41
- Grant note
- NSF; National Science Foundation (NSF) NSERC; Natural Sciences and Engineering Research Council of Canada (NSERC)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000286176300003
- Scopus ID
- 2-s2.0-79251630022
- Other Identifier
- 991019296813604721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical