The four-dimensional Martinez Alonso - Shabat equation: differential coverings and recursion operators
Exactly Solvable and Integrable Systems
2015-06-17 v2
Abstract
We apply Cartan's method of equivalence to find a contact integrable extension for the structure equations of the symmetry pseudo-group of the four-dimensional Martinez Alonso - Shabat equation. From the extension we derive two differential coverings including coverings with one and two non-removable parameters. Then we apply the same approach to construct a recursion operator for symmetries of the equation under study.
Keywords
Cite
@article{arxiv.1309.4993,
title = {The four-dimensional Martinez Alonso - Shabat equation: differential coverings and recursion operators},
author = {Oleg I. Morozov},
journal= {arXiv preprint arXiv:1309.4993},
year = {2015}
}