A non-Archimedean approach to prolongation theory

@article{Eck1986ANA,
  title={A non-Archimedean approach to prolongation theory},
  author={H. N. van Eck},
  journal={Letters in Mathematical Physics},
  year={1986},
  volume={12},
  pages={231-239}
}
  • H. Eck
  • Published 1986
  • Mathematics
  • Letters in Mathematical Physics
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 convergence problems hardly exist in such a field. Besides that, the accompanying Lie groups can be easily constructed. 
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An explicit nonlinear transformation relating solutions of the Korteweg‐de Vries equation and a similar nonlinear equation is presented. This transformation is generalized to solutions of aExpand
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