Recursion operator for stationary Nizhnik--Veselov--Novikov equation

Abstract

We present a new general construction of recursion operator from 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.

6 pages, LaTeX 2e

References in corpus (2)

• On Construction of Recursion Operators From Lax Representation
• A Note on modified Veselov-Novikov Hierarchy

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• Infinitely many nonlocal conservation laws for the $ABC$ equation with $A+B+C\ne 0$
• Recursion operator for the IGSG equation
• Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation
• Lie reductions and exact solutions of dispersionless Nizhnik equation
• Integrability of S-deformable surfaces: conservation laws, Hamiltonian structures and more
• On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system
• On nonlocal symmetries for the Krichever--Novikov equation
• Generalized symmetries of remarkable (1+2)-dimensional Fokker-Planck equation