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Isogroups of differential ideals of vector-valued differential forms: Application to partial differential equations

✍ Scribed by C. J. Papachristou; B. Kent Harrison

Publisher
Springer Netherlands
Year
1988
Tongue
English
Weight
903 KB
Volume
11
Category
Article
ISSN
0167-8019

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✦ Synopsis

An older geometric technique for the study of invariance groups of partial differential equations, originally proposed by one of the authors and F. B. Estabrook, is generalized and extended to problems involving exterior equations for vector-valued or Lie algebra-valued exterior differential forms. Use of the method is demonstrated in the study of the symmetry groups of the two-dimensional Dirac equation and the full Yang-Milis free-field equations in Minkowski spacetime.

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