Generalized Stäckel matrices

Kalnins, Ernie G.; Miller, W., Jr.

doi:10.1063/1.526840

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Kalnins, E.G. & Miller, W., Jr. (1985). Generalized Stäckel matrices. Journal of Mathematical Physics, 26, 2168.

Permanent Research Commons link: https://hdl.handle.net/10289/1222

Abstract

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.

Date

1985-09

Type

Journal Article

Rights

Copyright 1985 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jsp

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