# 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.

#### 4 Citations

Lie algebra computations

- Mathematics
- 1989

In the context of prolongation theory, introduced by Wahlquist and Estabrook, computations of a lot of Jacobi identities in (infinite-dimensional) Lie algebras are necessary. These computations can… Expand

A non-Archimedean approach to prolongation theory

- Mathematics
- 1986

Some evolution equations possess infinite-dimensional prolongation Lie algebras which can be made finite-dimensional by using a bigger (non-Archimedean) field. The advantage of this is that… Expand

A Non-Archimedean Approach to Prolongation Theory

- 2004

Some evolution equations possess infinite-dimensional prolongation Lie algebras which can be made finite-dimensional by using a bigger (non-Archimedean) field. The advantage of this is that… Expand

On Lie algebras responsible for zero-curvature representations of multicomponent (1+1)-dimensional evolution PDEs

- Mathematics, Physics
- 2017

Zero-curvature representations (ZCRs) are one of the main tools in the theory of integrable $(1+1)$-dimensional PDEs. According to the preprint arXiv:1212.2199, for any given $(1+1)$-dimensional… Expand

#### References

Prolongation structures of nonlinear evolution equations

- Mathematics
- 1975

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 cubically… Expand