Eikonal 3.1: General solution for coupled system of eikonal equations, three space dimensions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912143392112640 |
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| author | Yehorchenko, Iryna |
| author_facet | Yehorchenko, Iryna |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02842 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eikonal 3.1: General solution for coupled system of eikonal equations, three space dimensions Yehorchenko, Iryna Mathematical Physics Exactly Solvable and Integrable Systems 35Q60 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. |
| title | Eikonal 3.1: General solution for coupled system of eikonal equations, three space dimensions |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems 35Q60 |
| url | https://arxiv.org/abs/2412.02842 |