Coverings over Lax integrable equations and their nonlocal symmetries

preprint2015arXivOpen access

Abstract

Using the Lax representation with non-removable parameter, we construct two hierarchies of nonlocal conservation laws for the 3D rdDym equation uty=uxuxy−uyuxxu_{ty} = u_xu_{xy} - u_yu_{xx} and describe the algebras of nonlocal symmetries in the corresponding coverings.

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