4 citations · 16 across the 17 of their papers we have counts for
17 papers · 1 filter
Invariants for sets of vectors and rank 2 tensors, and differential invariants for vector functions
Irina Yehorchenko
We outline an algorithm for construction of functional bases of absolute invariants under the rotation group for sets of rank 2 tensors and vectors in the Euclidean space of arbitr…
General Solution for a Coupled System of Eikonal Equations in Two Space Variables
Irina Yehorchenko
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 and summation is im…
Ansatzes and exact solutions for nonlinear Schrodinger equations
Irina Yehorchenko
We consider construction of ansatzes for nonlinear Schrodinger equations in three space dimensions and arbitrary nonlinearity, and conditions of their reduction to ordinary differe…
Comment to "General Solution to Unidimensional Hamilton-Jacobi Equation" [arXiv:1302.0591v1]
Irina Yehorchenko
We present previous results on the general solution of the multidimensional Hamilton-Jacobi equation $\frac{\partial u}{\partial t} - \frac{\partial u}{\partial x_a} \frac{\partial…
Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations
Irina Yehorchenko
We study possible Lie and non-classical reductions of multidimensional wave equations and the special classes of possible reduced equations - their symmetries and equivalence class…
Conditional Symmetry and Reductions for the Two-Dimensional Nonlinear Wave Equation. I. General Case
Irina Yehorchenko
We present classification of Q-conditional symmetries for the two-dimensional nonlinear wave equations and the reductions corresponding to these nonlinear symmetries. Classificatio…