Symmetry group methods for fundamental solutions
Abstract
This paper uses Lie symmetry group methods to study PDEs of the form ut=xuxx+f(x)ux. We show that when the drift function f is a solution of a family of Ricatti equations, then symmetry techniques can be used to find a fundamental solution.
- Publication:
-
Journal of Differential Equations
- Pub Date:
- 2004
- DOI:
- 10.1016/j.jde.2004.07.026
- Bibcode:
- 2004JDE...207..285C