Geodesic
Coverings over Lax integrable equations and their nonlocal symmetries
Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 3, pp. 361-385 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the three-dimensional rdDym equation $u_{ty}=u_xu_{xy}- u_yu_{xx}$. 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.
Keywords: partial differential equation, three-dimensional rdDym equation, nonlocal symmetry, recursion operator. 
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     author = {H. Baran and I. S. Krasil'shchik and O. I. Morozov and P. Voj\v{c}\'ak},
     title = {Coverings over {Lax} integrable equations and their nonlocal symmetries},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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H. Baran; I. S. Krasil'shchik; O. I. Morozov; P. Vojčák. Coverings over Lax integrable equations and their nonlocal symmetries. Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 3, pp. 361-385. http://geodesic.mathdoc.fr/item/TMF_2016_188_3_a0/

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