Corpus ID: 39136377

A Non-Archimedean Approach to Prolongation Theory

  title={A Non-Archimedean Approach to Prolongation Theory},
  author={H. Eck},
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. The prolongation theory of Wahlquist and Estabrook [ 1 ] can be described as follows: Find a 1-form o9 = A dx + B dt, defined on the (x, t)-space with values in a Lie algebra g such that d… Expand
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