Błaszak Maciej, Sergyeyev Artur
Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland.
Mathematical Institute, Silesian University in Opava, Na Rybníčku 1, 746 01 Opava, Czech Republic.
Proc Math Phys Eng Sci. 2017 May;473(2201):20160857. doi: 10.1098/rspa.2016.0857. Epub 2017 May 10.
In this paper, we introduce a multi-dimensional version of the -matrix approach to the construction of integrable hierarchies. Applying this method to the case of the Lie algebra of functions with respect to the contact bracket, we construct integrable hierarchies of (3+1)-dimensional dispersionless systems of the type recently introduced in Sergyeyev (2014 (http://arxiv.org/abs/1401.2122)).
在本文中，我们引入一种用于构建可积层级的矩阵方法的多维版本。将此方法应用于关于接触括号的函数李代数情形，我们构建了如Sergyeyev（2014（http://arxiv.org/abs/1401.2122））中最近引入的那种类型的（3 + 1）维无弥散系统的可积层级。
