Contact Equivalence of the Generalized Hunter - Saxton Equation and the Euler - Poisson Equation
Mathematical Physics
2007-05-23 v2 Differential Geometry
math.MP
Abstract
We present a contact transformation of the generalized Hunter--Saxton equation to the Euler--Poisson equation with special values of the Ovsiannikov invariants. We also find the general solution for the generalized Hunter--Saxton equation.
Keywords
Cite
@article{arxiv.math-ph/0406016,
title = {Contact Equivalence of the Generalized Hunter - Saxton Equation and the Euler - Poisson Equation},
author = {Oleg I. Morozov},
journal= {arXiv preprint arXiv:math-ph/0406016},
year = {2007}
}