Symmetry Reduction of Exterior Differential Systems and Baecklund Transformations for PDE in the Plane

Symmetry Reduction of Exterior Differential Systems and Baecklund Transformations for PDE in the Plane

We approach the construction of Baecklund transformations for Darboux integrable hyperbolic partial differential equations in the plane through the reduction of exterior differential systems.

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Bibliographische Detailangaben
Veröffentlicht in:Acta applicandae mathematicae 2012-08, Vol.120 (1), p.29-60
Hauptverfasser: Anderson, I M, Fels, ME
Format: Artikel
Sprache:eng
Schlagworte:
Construction
Differential equations
Exteriors
Partial differential equations
Planes
Reduction
Symmetry
Transformations
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Beschreibung
Zusammenfassung:We approach the construction of Baecklund transformations for Darboux integrable hyperbolic partial differential equations in the plane through the reduction of exterior differential systems.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-012-9716-0