Recursion operators in the cotangent covering of the rdDym equation

Abstract

We describe a general method of constructing nonlocal recursion operators for symmetries of PDEs. As an example, the cotangent equation to the 3D rdDym equation $u_{yt}=u_x{u}_{xy}-u_y{u}_{xx}$ for which two mutually inverse operators are found. The exposition includes a rigorous criterion to check the hereditary property.

References in corpus (4)

• A Simple Construction of Recursion Operators for Multidimensional Dispersionless Integrable Systems
• Recursion Operators and Nonlocal Symmetries for Integrable rmdKP and rdDym Equations
• A Two-Component Generalization of the Integrable rdDym Equation
• Nonlocal symmetries of Lax integrable equations: a comparative study