当前位置: X-MOL 学术Anal. Math. Phys. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Recursion operators in the cotangent covering of the rdDym equation
Analysis and Mathematical Physics ( IF 1.4 ) Pub Date : 2021-10-24 , DOI: 10.1007/s13324-021-00611-3
I. S. Krasil’shchik 1 , A. M. Verbovetsky 2
Affiliation  

We describe a general method of constructing nonlocal recursion operators for symmetries of PDEs. As an example, the cotangent equation to the 3D rdDym equation \(u_{yt} = u_xu_{xy} - u_yu_{xx}\) is considered for which two mutually inverse operators are found. The exposition includes a rigorous criterion to check the hereditary property of nonlocal recursion operators.



中文翻译:

rdDym 方程余切覆盖中的递归算子

我们描述了为偏微分方程的对称性构造非局部递归算子的一般方法。例如,考虑到 3D rdDym 方程\(u_{yt} = u_xu_{xy} - u_yu_{xx}\)的余切方程,其中找到了两个互逆算子。该说明包括一个严格的标准来检查非局部递归运算符的遗传属性。

更新日期:2021-10-26
down
wechat
bug