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arxiv: hep-th/9209004 · v1 · submitted 1992-09-01 · ✦ hep-th

Group Theoretical Symmetries and Generalized Baecklund Transformations for Integrable Systems

classification ✦ hep-th
keywords systemsbaecklundgeneralizedgroupintegrableapplycasesconsistent
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We present a notion of symmetry for 1+1-dimensional integrable systems which is consistent with their group theoretic description and reproduces in special cases the known Baecklund transformation for the generalized Korteweg-deVries hierarchies. We also apply it to the relativistic invariance of the Leznov-Saveliev systems.

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