Abstract
Direct reductions of partial differential equations to systems of ordinary differential equations are in one-to-one correspondence with compatible differential constraints. The differential constraint method is applied to prove that a parabolic evolution equation admits infinitely many characteristic second order reductions, but admits a non-characteristic second order reduction if and only if it is linearizable.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 509-523 |
| Number of pages | 15 |
| Journal | Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences |
| Volume | 444 |
| Issue number | 1922 |
| State | Published - Mar 8 1994 |