Symmetry reduction of ordinary finite difference equations using moving frames

The technique of equivariant moving frames is incorporated into the classical symmetry reduction method of ordinary finite difference equations. Using the recurrence relations for the finite difference invariants, computations are performed symbolically without relying on the coordinate expressions...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2017-05, Vol.50 (19), p.195201
Hauptverfasser: Benson, Joseph, Valiquette, Francis
Format: Artikel
Sprache:eng
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Zusammenfassung:The technique of equivariant moving frames is incorporated into the classical symmetry reduction method of ordinary finite difference equations. Using the recurrence relations for the finite difference invariants, computations are performed symbolically without relying on the coordinate expressions of the canonical variables and the difference invariants.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa65f1