I. Yehorchenko

most citedExtension of Realisations for Low-Dimensional Lie Algebras and Relative Differential Invariants

2 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

math-ph2024

Eikonal 2.0: General Solutions for Modified Eikonal Equations

Iryna Yehorchenko

We find implicit general solutions for modified eikonal equations $u_{a} u_{a} = F (u_{t})$ , where lower indices at dependent variables designate derivatives, $a = 1, 2, .., n$ , and summation is…

math-ph2024

Eikonal 3.1: General solution for coupled system of eikonal equations, three space dimensions

Iryna Yehorchenko

A general solution for a coupled system of eikonal equations $u_{μ} u_{μ} = 0$ , $v_{μ} v_{μ} = 0$ , $u_{μ} v_{μ} = 1$ is presented, where lower indices designate derivatives, $μ = 0, 1, 2, 3$ , and summation…

math-ph2022

Eikonal Equation 0.1

Iryna Yehorchenko

We provide a review of some symmetry-related literature on the eikonal equations $u_{μ} u_{μ} = 0$ , $u_{μ} u_{μ} = 1$ , where lower indices at dependent variables designate derivatives, $μ=0,1,2,.…

math-ph2022★ 2 cited

Extension of Realisations for Low-Dimensional Lie Algebras and Relative Differential Invariants

Iryna Yehorchenko

We start with a realisation of a Lie algebra with the basis operators $L = ⟨ Q_{m} ⟩$ , $Q_{m} = ζ_{mj} (x_{i}) \partial_{x_{j}}$ , where $x_{i}$ are some variables that may be regarded a…