Corpus ID: 236881440

Four Symmetries of the KdV equation

  title={Four Symmetries of the KdV equation},
  author={Alexander G. Rasin and Jeremy Schiff},
We identify 4 nonlocal symmetries of KdV depending on a parameter. We explain that since these are nonlocal symmetries, their commutator algebra is not uniquely determined, and we present three possibilities for the algebra. In the first version, 3 of the 4 symmetries commute; this shows that it is possible to add further (nonlocal) commuting flows to the standard KdV hierarchy. The second version of the commutator algebra is consistent with Laurent expansions of the symmetries, giving rise to… Expand


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