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arXiv · 1309.4993

The four-dimensional Martinez Alonso - Shabat equation: differential coverings and recursion operators

Oleg I. Morozov
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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.

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Oleg I. Morozov. 2013-09-19. The four-dimensional Martinez Alonso - Shabat equation: differential coverings and recursion operators. https://doi.org/10.1016/j.geomphys.2014.05.022

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