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The noncommutative AKNS system: projection to matrix systems, countable superposition and soliton-like solutions
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
2010 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 43, no 43, p. 434030-Article in journal (Refereed) Published
Abstract [en]

Starting from the recent work on noncommutative AKNS systems for functions with values in the bounded operators on a Banach space, it is shown how their formal 1-soliton solution (depending on operator parameters) can be mapped to solutions of matrix AKNS systems. The main result is rather general solution formulas for matrix AKNS systems. The most important applications are the countable superposition of matrix solitons and explicit expressions for the soliton-like solutions of the classical AKNS system.

Place, publisher, year, edition, pages
2010. Vol. 43, no 43, p. 434030-
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-12413DOI: 10.1088/1751-8113/43/43/434030ISI: 000283300100031Scopus ID: 2-s2.0-78649641881OAI: oai:DiVA.org:miun-12413DiVA, id: diva2:374532
Available from: 2010-12-05 Created: 2010-12-05 Last updated: 2017-12-12Bibliographically approved

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Schiebold, Cornelia

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