A strange recursion operator for a new integrable system of coupled Korteweg - de Vries equations

Abstract

A recursion operator is constructed for a new integrable system of coupled Korteweg - de Vries equations by the method of gauge-invariant description of zero-curvature representations. This second-order recursion operator is characterized by unusual structure of its nonlocal part.

12 pages, final version

References in corpus (3)

• On Construction of Recursion Operators From Lax Representation
• Recursion operator for stationary Nizhnik--Veselov--Novikov equation
• Cyclic bases of zero-curvature representations: five illustrations to one concept

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• On Non-Commutative Integrable Burgers Equations
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• Two-component integrable generalizations of Burgers equations with nondiagonal linearity
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