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  NLS breathers, rogue waves, and solutions of the Lyapunov equation for Jordan blocks

Chvartatskyi, O., & Müller-Hoissen, F. (2017). NLS breathers, rogue waves, and solutions of the Lyapunov equation for Jordan blocks. Journal of Physics A: Mathematical and Theoretical, 50(15): 155204. doi:10.1088/1751-8121/aa6185.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-002C-C2C4-8 Version Permalink: https://hdl.handle.net/21.11116/0000-0001-20C4-D
Genre: Journal Article

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 Creators:
Chvartatskyi, Oleksandr1, Author           
Müller-Hoissen, Folkert1, Author           
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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Free keywords: nonlinear Schrödinger equation, breather, rogue wave, Lyapunov equation, Darboux transformation
 Abstract: The infinite families of Peregrine, Akhmediev and Kuznetsov–Ma breather solutions of the focusing nonlinear Schrödinger (NLS) equation are obtained via a matrix version of the Darboux transformation, with a spectral matrix of the form of a Jordan block. The structure of these solutions is essentially determined by the corresponding solution of the Lyapunov equation. In particular, regularity follows from properties of the Lyapunov equation.

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Language(s): eng - English
 Dates: 2017-03-142017-04-18
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1088/1751-8121/aa6185
 Degree: -

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Title: Journal of Physics A: Mathematical and Theoretical
Source Genre: Journal
 Creator(s):
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Publ. Info: -
Pages: 20 Volume / Issue: 50 (15) Sequence Number: 155204 Start / End Page: - Identifier: -