Home
For authors
Submission status

Current
Archive
Archive (English)
   Volumes 21-40
   Volumes 1-20
   Volumes 41-62
      Volume 62
      Volume 61
      Volume 60
      Volume 59
      Volume 58
      Volume 57
      Volume 56
      Volume 55
      Volume 54
      Volume 53
      Volume 52
      Volume 51
      Volume 50
      Volume 49
      Volume 48
      Volume 47
      Volume 46
      Volume 45
      Volume 44
      Volume 43
      Volume 42
      Volume 41
Search
VOLUME 59 (1994) | ISSUE 12 | PAGE 845
Reductions of a Lax pair for self-duality equations of the Yang-Mills model
Reductions of the self-duality equation of the Yang-Mills model in d=4 in terms of the action of continuous symmetry groups lead to systems of differential equations in a lower dimensionality. An algorithm is written for reducing a Lax pair for self-duality equations with respect to an arbitrary subgroup of the conformal transformation group of R4 space. The compatibility condition for the reduced Lax pair is shown to be the same as the self-duality equations reduced in terms of the action of the same symmetry group. The general scheme is illustrated with three examples.