Direct reduction and differential constraints
- 8 March 1994
- journal article
- research article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
- Vol. 444 (1922) , 509-523
- https://doi.org/10.1098/rspa.1994.0035
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.This publication has 8 references indexed in Scilit:
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