|Title||Direct reduction and differential constraints|
|Author(s)|| Peter J. Olver|
|Text||P.J. Olver, Direct reduction and differential constraints, Proc. Roy. Soc. Lond. A 444 (1994) 509--523.|
|Type||Technical Report, Misc|
|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 noncharacteristic second order reduction if and only if it is linearizable.