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

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.

preprint2014arXivOpen access
Oleg I. Morozov
nlin.SI
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Oleg I. Morozov

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