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Explicit solution formulas for the matrix-KP
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
2009 (English)In: Glasgow Mathematical Journal, ISSN 0017-0895, E-ISSN 1469-509X, Vol. 51A, 147-155 p.Article in journal (Refereed) Published
Abstract [en]

We study a non-commutative version of the Kadomtsev-Petviashvili equations and construct a family of solutions generalizing naturally the soliton to the non-commutative setting. From this we derive explicit solution formulas as well for the scalar as for the matrix-Kadomtsev-Petviashvili equation which still depend on operator parameters.

Place, publisher, year, edition, pages
2009. Vol. 51A, 147-155 p.
Keyword [en]
NONLINEAR EQUATIONS
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-6758DOI: 10.1017/S0017089508004862ISI: 000264229600014Scopus ID: 2-s2.0-85011516323Local ID: 5971OAI: oai:DiVA.org:miun-6757DiVA: diva2:113807
Conference
3rd Island Workshop on Intergrable Systems - Linear and Nonlinear Dynamics, Jul 03-07, 2007, Islay, Scotland
Available from: 2008-12-08 Created: 2008-10-28 Last updated: 2017-07-03Bibliographically approved

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Schiebold, Cornelia
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CiteExportLink to record
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  • apa
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