Exterior Differential Systems with Symmetry

Exterior Differential Systems with Symmetry

We use the theory of reduction of exterior differential systems with symmetry to study the problem of using a symmetry group of a differential equation to find noninvariant solutions.

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Veröffentlicht in:Acta applicandae mathematicae 2005-05, Vol.87 (1-3), p.3-31
Hauptverfasser: Anderson, I M, Fels, M E
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Explicit knowledge
Exteriors
Group theory
Lie groups
Mathematical analysis
Mathematical functions
Orbits
Partial differential equations
Reduction
Studies
Symmetry
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Beschreibung
Zusammenfassung:We use the theory of reduction of exterior differential systems with symmetry to study the problem of using a symmetry group of a differential equation to find noninvariant solutions.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-005-1136-y