A Recursion Operator for the Universal Hierarchy Equation via Cartan's Method of Equivalence
Exactly Solvable and Integrable Systems
2012-05-28 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We apply Cartan's method of equivalence to find a B\"acklund autotransformation for the tangent covering of the universal hierarchy equation. The transformation provides a recursion operator for symmetries of this equation.
Keywords
Cite
@article{arxiv.1205.5748,
title = {A Recursion Operator for the Universal Hierarchy Equation via Cartan's Method of Equivalence},
author = {Oleg I. Morozov},
journal= {arXiv preprint arXiv:1205.5748},
year = {2012}
}