# Coverings over lax integrable equations and their nonlocal symmetries

@article{Baran2015CoveringsOL, title={Coverings over lax integrable equations and their nonlocal symmetries}, author={H. Baran and I. Krasil’shchik and O. Morozov and P. Voj{\vc}ak}, journal={Theoretical and Mathematical Physics}, year={2015}, volume={188}, pages={1273-1295} }

We consider the three-dimensional rdDym equation uty = uxuxy −uyuxx. Using the known Lax representation with a nonremovable parameter and two hierarchies of nonlocal conservation laws associated with it, we describe the algebras of nonlocal symmetries in the corresponding coverings.

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#### References

SHOWING 1-10 OF 16 REFERENCES

Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems

- Mathematics, Physics
- 2014

Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations

- Mathematics
- 1989

Recursion Operators and Nonlocal Symmetries for Integrable rmdKP and rdDym Equations

- Mathematics, Physics
- 2012

Contact integrable extensions of symmetry pseudo-groups and coverings of (2+1 ) dispersionless integrable equations☆

- Mathematics, Physics
- 2009

Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type

- Physics, Mathematics
- 2002