The explicit structure of the nonlinear Schrödinger prolongation algebra

@inproceedings{Eck1983TheES,
  title={The explicit structure of the nonlinear Schr{\"o}dinger prolongation algebra},
  author={H. Eck and P. Gragert and R. Martini},
  year={1983}
}
The structure of the nonlinear Schrodinger prolongation algebra, introduced by Estabrook and Wahlquist, is explicitly determined. It is proved that this Lie algebra is isomorphic with the direct product H× (A1 C[t]), where H is a three-dimensional commutative Lie algebra. 
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References

Prolongation structures of nonlinear evolution equations
The prolongation structure of a closed ideal of exterior differential forms is further discussed, and its use illustrated by application to an ideal (in six dimensions) representing the cubicallyExpand