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VOLUME 32 (1980) | ISSUE 2 | PAGE 187
Reduction in integrable systems. The reduction group
By studying infinite reduction groups we are led to a generalization of the inverse-problem method to the case in which the spectral parameter Я lies on an arbitrary algebraic curve. We outline the classification of integrable models and their reductions and construct a new nontrivial example of an integrable model involving the tetrahedral group.