Lie and Lie Bäcklund Vector Fields and Painlevé Test for a Class of Scale Invariant Partial Differential Equations of First Order
Abstract
For a class of scale invariant partial differential equations the existence of Lie and Lie Bäcklund vector fields is studied. We also perform a Painlevé test for this class of equations. The connection with integrability is discussed.
- Publication:
-
Progress of Theoretical Physics
- Pub Date:
- August 1987
- DOI:
- 10.1143/PTP.78.214
- Bibcode:
- 1987PThPh..78..214S