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
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.