Generalized Stäckel matrices

作者: E. G. Kalnins , W. Miller

DOI: 10.1063/1.526840

关键词:

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

参考文章(3)
E. G. Kalnins, Willard Miller, Differential‐Stäckel matrices Journal of Mathematical Physics. ,vol. 26, pp. 1560- 1565 ,(1985) , 10.1063/1.526917
T. Levi-Civita, Sulla integrazione della equazione di Hamilton-Jacobi per separazione di variabili Mathematische Annalen. ,vol. 59, pp. 383- 397 ,(1904) , 10.1007/BF01445149
Luther Pfahler Eisenhart, Separable Systems of Stackel Annals of Mathematics. ,vol. 35, pp. 284- ,(1934) , 10.2307/1968433