Eikonal 3.1: General solution for coupled system of eikonal equations, three space dimensions
Year: 2024
Type: preprint
Abstract: A general solution for a coupled system of eikonal equations $u_μu_μ=0$, $v_μv_μ=0$, $u_μv_μ=1$ is presented, where lower indices designate derivatives, $μ=0,1,2,3$, and summation is implied over the repeated indices. This solution is of interest by itself due to wide applications of the eikonal equations, but the system considered also appears to be part of the reduction conditions for many equations of mathematical physics.
Source: arXiv (Cornell University)
Author: Yehorchenko, Iryna
Institutions: Institute of Mathematics, Institute of Mathematics
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4405081164