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)|
|Number of pages||15|
|Journal||Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences|
|State||Published - Mar 8 1994|