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Acta Polytechnica
Article . 2011 . Peer-reviewed
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Acta Polytechnica
Article
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Preprint . 2010
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Acta Polytechnica
Article . 2011
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https://dx.doi.org/10.48550/ar...
Article . 2010
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Article . 2011
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Claim

Bidifferential Calculus, Matrix SIT and Sine-Gordon Equations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 02 Jan 2011Embargo end date: 01 Jan 2010Publisher:Czech Technical University in Prague - Central LibraryJournal:Acta Polytechnica, volume 51 (issn: 1210-2709, eissn: 1805-2363, Copyright policy )
Authors: Dimakis, A.; Kanning, N.; Müller-Hoissen, F.;

doi: 10.14311/1352 , 10.48550/arxiv.1011.1737

arXiv: 1011.1737

handle: 11858/00-001M-0000-0029-11ED-2

Bidifferential Calculus, Matrix SIT and Sine-Gordon Equations

Abstract

We express a matrix version of the self-induced transparency (SIT) equations in the bidifferential calculus framework. An infinite family of exact solutions is then obtained by application of a general result that generates exact solutions from solutions of a linear system of arbitrary matrix size. A side result is a solution formula for the sine-Gordon equation.

Related Organizations
Keywords

Nonlinear Sciences - Exactly Solvable and Integrable Systems, self-induced transparency, FOS: Physical sciences, Mathematical Physics (math-ph), integrable system, Engineering (General). Civil engineering (General), 70H06 35C08 35Q51, sine-Gordon, bidifferential calculus, TA1-2040, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 3
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
Published in a Diamond OA journal