On recursion operators
Abstract
We observe that application of a recursion operator of the Burgers equation does not produce the expected symmetries. This is explained by the incorrect assumption that Dx-1Dx=1. We then proceed to give a method to compute the symmetries using the recursion operator as a first-order approximation.
- Publication:
-
Physica D Nonlinear Phenomena
- Pub Date:
- February 2001
- DOI:
- 10.1016/S0167-2789(00)00188-3
- Bibcode:
- 2001PhyD..149....1S