Coverings over lax integrable equations and their nonlocal symmetries

被引：16
|
作者：
Baran, H. [1 ]
Krasil'shchik, I. S. [2 ]
Morozov, O. I. [3 ]
Vojcak, P. [1 ]
机构：
[1] Silesian Univ Opava, Math Inst, Opava, Czech Republic
[2] Independent Univ Moscow, Moscow, Russia
[3] AGH Univ Sci & Technol, Fac Appl Math, Krakow, Poland
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2016年 / 188卷 / 03期
关键词：
partial differential equation; three-dimensional rdDym equation; nonlocal symmetry; recursion operator; PARTIAL-DIFFERENTIAL-EQUATIONS; REDUCTIONS; HIERARCHY; SYSTEMS;
D O I：
10.1134/S0040577916090014
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the three-dimensional rdDym equation u (ty) = u (x) u (xy) -u (y) u (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.
引用
收藏
页码：1273 / 1295
页数：23
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