Highly Influenced

# Direct Reduction and Differential Constraints

@inproceedings{Olver1994DirectRA, title={Direct Reduction and Differential Constraints}, author={Peter J. Olver}, year={1994} }

- Published 1994

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.

Highly Cited

This paper has 33 citations. REVIEW CITATIONS

#### From This Paper

##### Figures, tables, results, connections, and topics extracted from this paper.

25 Extracted Citations

21 Extracted References

Similar Papers