Generalized Stäckel matrices

E. G. Kalnins, W. Miller

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


Stäckel and differential-Stäckel matrices are generalized so that the matrix elements may be functions of the derivatives of the dependent variable as well as the independent variable. The inverses of these matrices are characterized and it is shown that for significant classes of linear and nonlinear partial differential equations, variable separation is accomplished via this generalized Stäckel mechanism.

Original languageEnglish (US)
Pages (from-to)2168-2173
Number of pages6
JournalJournal of Mathematical Physics
Issue number9
StatePublished - 1985
Externally publishedYes


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