EIKONAL TYPE EQUATIONS FOR GEOMETRICAL SINGULARITIES OF SOLUTIONS IN-FIELD THEORY

被引：12

作者：

LIZZI, F

MARMO, G

SPARANO, G

VINOGRADOV, AM

机构：

[1] INFN, I-80125 NAPLES, ITALY

[2] ERWIN SCHRODINGER INST, A-1090 VIENNA, AUSTRIA

[3] UNIV SALERNO, IST MATEMAT, I-84100 SALERNO, ITALY

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1994年 / 14卷 / 03期

关键词：

PARTIAL DIFFERENTIAL EQUATIONS; (GEOMETRIC) SOLUTION SINGULARITIES; CHARACTERISTIC; EIKONAL AND HAMILTON-JACOBI EQUATIONS; FIELD (KLEIN-GORDON; SCHRODINGER; DIRAC; MAXWELL) EQUATIONS; K-CHARACTERISTIC EQUATIONS; COMPLEMENTARY EQUATIONS;

D O I：

10.1016/0393-0440(94)90008-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss several aspects of singularities of the solutions of the partial differential equations of Klein-Gordon, Schrodinger and Dirac. In particular we analyze the fold-type singularity, of the first and higher orders, and the related characteristic equations. We also consider the field equations as reduction of homogeneous equations in higher dimensions, and discuss how singularities of the solution are reduced.

引用

页码：211 / 235

页数：25

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