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Recursion operator for the stationary Nizhnik–Veselov–Novikov equation

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M Marvan and A Sergyeyev

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LETTER TO THE EDITOR

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

02.30.Jr Partial differential equations

02.40.Hw Classical differential geometry

02.30.Ik Integrable systems

02.40.Sf Manifolds and cell complexes

MSC

35A30 Geometric theory, characteristics, transformations (See also 58J70, 58J72)

37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

35Q58 Other completely integrable equations (See also 37J35, 37K10)

35G05 General theory of linear higher-order PDE

Subjects

Mathematical physics

Dates

Issue 5 (7 February 2003)

Received 15 October 2002, in final form 18 December 2002

Published 22 January 2003



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