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LETTER TO THE EDITOR

Recursion operator for the stationary Nizhnik–Veselov–Novikov equation

M Marvan et al 2003 J. Phys. A: Math. Gen. 36 L87-L92   doi: 10.1088/0305-4470/36/5/102  Help

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M Marvan and A Sergyeyev
Mathematical Institute, Silesian University in Opava, Bezrucovo nam. 13, 746 01 Opava, Czech Republic
E-mail: Michal.Marvan@math.slu.cz and Artur.Sergyeyev@math.slu.cz

Abstract. We present a new general construction of a recursion operator from the zero-curvature representation. Using it, we find a recursion operator for the stationary Nizhnik–Veselov–Novikov equation and present a few low-order symmetries generated with the help of this operator.

PACS numbers: 02.30.Ik, 02.30.Jr, 02.40.Hw, 02.40.Ky, 02.70.Wz

Mathematics Subject Classification: 37K10, 35A30, 35Q58

Print publication: Issue 5 (7 February 2003)
Received 15 October 2002, in final form 18 December 2002
Published 22 January 2003

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