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arxiv: 1309.4993 · v2 · pith:4LLS3OK6new · submitted 2013-09-19 · 🌊 nlin.SI

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

classification 🌊 nlin.SI
keywords coveringsequationalonsoapplydifferentialextensionfour-dimensionalmartinez
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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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