Group theoretical symmetries and generalized Bäcklund transformations for integrable systems

@inproceedings{Haak1994GroupTS,
  title={Group theoretical symmetries and generalized B{\"a}cklund transformations for integrable systems},
  author={Gabrielle Haak},
  year={1994}
}
  • Gabrielle Haak
  • Published 1994
  • Mathematics, Physics
  • A notion of symmetry for 1+1‐dimensional integrable systems is presented which is consistent with their group theoretic description. It is shown how a group symmetry may be used together with a dynamical reduction to produce new generalizations of the Backlund transformation for the Korteweg–de Vries equation to its SL(n,C) generalization. An additional application to the relativistic invariance of the Leznov–Saveliev systems is given. 

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