论文标题
在4d mart的非本地对称代数上
On the algebra of nonlocal symmetries for the 4D Mart\'ınez Alonso-Shabat equation
论文作者
论文摘要
我们考虑4D mart \'ınezalonso-shabat方程$ u_ {ty} = u_z u_ {xy} - u_y u_ {xz} $（也称为通用层次结构方程），并使用其已知的lax对构建了两个无限型差异覆盖物，构建了两个Infinite dimimential digimential diquimential diquimential diquestional coverings covering over $ \ \ \ e}。在这些掩护中，我们对非本地对称性的谎言代数进行了完整的描述。特别是，我们的结果概括了在[O.I.Morozov，A.Sergyeyev，四维玛总计\'ınezalonso-Shabat方程：降低和非局部对称性中获得的结果。 Geom J.和物理。 85（2014），40--45（Arxiv：1401.7942v2）]，并包含在更大较大的Lie代数中将对称性作为子词的无限层次结构的无限层次结构。
We consider the 4D Mart\'ınez Alonso-Shabat equation $u_{ty} = u_z u_{xy} - u_y u_{xz}$ (also referred to as the universal hierarchy equation) and using its known Lax pair construct two infinite-dimensional differential coverings over $\mathcal{E}$. In these coverings, we give a complete description of the Lie algebras of nonlocal symmetries. In particular, our results generalize the ones obtained in [O.I.Morozov, A.Sergyeyev, The four-dimensional Mart\'ınez Alonso-shabat equation: reductions and nonlocal symmetries. J. of Geom. and Phys. 85 (2014), 40--45 (arXiv:1401.7942v2)] and contain the constructed there infinite hierarchy of commuting symmetries as a subalgebra in a much bigger Lie algebra.
