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

Citation
F. Lizzi et al., EIKONAL TYPE EQUATIONS FOR GEOMETRICAL SINGULARITIES OF SOLUTIONS IN-FIELD THEORY, Journal of geometry and physics, 14(3), 1994, pp. 211-235
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
ISSN journal
03930440
Volume
14
Issue
3
Year of publication
1994
Pages
211 - 235
Database
ISI
SICI code
0393-0440(1994)14:3<211:ETEFGS>2.0.ZU;2-U
Abstract
We discuss several aspects of singularities of the solutions of the pa rtial differential equations of Klein-Gordon, Schrodinger and Dirac. I n particular we analyze the fold-type singularity, of the first and hi gher orders, and the related characteristic equations. We also conside r the field equations as reduction of homogeneous equations in higher dimensions, and discuss how singularities of the solution are reduced.