Coverings over lax integrable equations and their nonlocal symmetries

H. Baran; I. S. Krasil’shchik; O. I. Morozov; P. Vojčák

doi:10.1134/S0040577916090014

Coverings over lax integrable equations and their nonlocal symmetries

作者: Baran H.¹, Krasil’shchik I.S.², Morozov O.I.³, Vojčák P.¹
隶属关系:
1. Mathematical Institute
2. Independent University of Moscow
3. Faculty of Applied Mathematics
期: 卷 188, 编号 3 (2016)
页面: 1273-1295
栏目: Article
URL: https://journals.rcsi.science/0040-5779/article/view/170744
DOI: https://doi.org/10.1134/S0040577916090014
ID: 170744

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详细

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.