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arxiv: 1205.5748 · v1 · pith:A7LLTPV7new · submitted 2012-05-25 · 🌊 nlin.SI · math-ph· math.DG· math.MP

A Recursion Operator for the Universal Hierarchy Equation via Cartan's Method of Equivalence

classification 🌊 nlin.SI math-phmath.DGmath.MP
keywords equationcartanequivalencehierarchymethodoperatorrecursionuniversal
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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.

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