Coverings over Lax integrable equations and their nonlocal symmetries

Abstract

Using the Lax representation with non-removable parameter, we construct two hierarchies of nonlocal conservation laws for the 3D rdDym equation $u_{ty}=u_x{u}_{xy}-u_y{u}_{xx}$ and describe the algebras of nonlocal symmetries in the corresponding coverings.

Minor corrections and updated references

References in corpus (2)

• Symmetry reductions and exact solutions of Lax integrable $3$-dimensional systems
• Recursion Operators and Nonlocal Symmetries for Integrable rmdKP and rdDym Equations

Cited by in corpus (4)

• Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
• Computing with Hamiltonian operators
• Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras
• Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation