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Noncommutative AKNS systems and multisoliton solutions to the matrix sine-Gordon equation
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
2009 (English)In: Discrete and Continuous Dynamical Systems, ISSN 1078-0947, no Suppl, 678-690 p.Article in journal (Refereed) Published
Abstract [en]

The main result is a very general solution formula for the noncommutative AKNS system, extending work by Bauhardt and P¨oppe. As anapplication, we construct for the matrix sine-Gordon equation N-soliton solutions analogous to the multisoliton solutions for the KdV equation due toGoncharenko.

Place, publisher, year, edition, pages
2009. no Suppl, 678-690 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-8015DOI: 10.3934/proc.2009.2009.678OAI: oai:DiVA.org:miun-8015DiVA: diva2:133029
Available from: 2009-01-07 Created: 2009-01-07 Last updated: 2013-02-11Bibliographically approved

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Schiebold, Cornelia
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