The construction of special solutions to partial differential equations

Peter J. Olver, Philip Rosenau

Research output: Contribution to journalArticlepeer-review

217 Scopus citations


Almost all the methods devised to date for constructing particular solutions to a partial differential equation can be viewed as manifestations of a single unifying method characterized by the appending of suitable "side conditions" to the equation, and solving the resulting overdetermined system of partial differential equations. These side conditions can also be regarded as specifying the invariance of the particular solutions under some generalized group of transformations.

Original languageEnglish (US)
Pages (from-to)107-112
Number of pages6
JournalPhysics Letters A
Issue number3
StatePublished - Feb 10 1986

Bibliographical note

Funding Information:
1 Supported in part by NSF Grant MCS 81-00786.


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