On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations

We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group. The classical symmetry method is applied. We prove that if th...

Full description

Bibliographic Details
Main Author: Ivan Tsyfra
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2021-09-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol41/5/art/opuscula_math_4133.pdf