Method of group foliation, hodograph transformation and non-invariant solutions of the Boyer-Finley equation

Abstract

We present the method of group foliation for constructing non-invariant solutions of partial differential equations on an important example of the Boyer-Finley equation from the theory of gravitational instantons. We show that the commutativity constraint for a pair of invariant differential operators leads to a set of non-invariant solutions of this… (More)

Topics

Cite this paper

@inproceedings{Sheftel2003MethodOG, title={Method of group foliation, hodograph transformation and non-invariant solutions of the Boyer-Finley equation}, author={Mikhail B. Sheftel}, year={2003} }