LIE ALGEBRAIC METHODS AND SOLUTIONS OF LINEAR PARTIAL-DIFFERENTIAL EQUATIONS

被引：24

作者：

DATTOLI, G

RICHETTA, M

SCHETTINI, G

TORRE, A

机构：

[1] ENEA,DIPARTIMENTO FUS,CRE FRASCATI,FRASCATI,ITALY

[2] UNIV ROME LA SAPIENZA,DIPARTIMENTO ELETTRON,I-00185 ROME,ITALY

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 12期

关键词：

D O I：

10.1063/1.528937

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, an algebraic method to obtain the solution of linear partial differential equations of the evolution type is discussed. The proposed method exploits the Lie differential operators and their matrix realization, to reduce the equation to an easily solvable generalized matrix form. Some applications to problems of specific interest are also discussed. © 1990 American Institute of Physics.

引用

页码：2856 / 2863

页数：8

共 24 条

[1]

Bianchi L., 1918, LEZIONI TEORIA GRUPP

[2]

Cartan E., 1929, REND CIRC MAT PALERM, V53, P217, DOI DOI 10.1007/BF03024106

[3]

COHEN A, 1911, INTRO LIE THEORY ONE

[4] A SPINOR APPROACH TO THE PROPAGATION IN SELF-FOCUSING FIBERS [J].