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Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry
Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2021-06-21 , DOI: 10.1134/s0040577921040012 Chuanzhong Li
中文翻译:
多分量分数 Volterra 层次结构及其具有 Virasoro 对称性的子层次结构
更新日期:2021-06-22
Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2021-06-21 , DOI: 10.1134/s0040577921040012 Chuanzhong Li
Abstract
Using the Hamiltonian structures and tau symmetries, we construct a multicomponent fractional Volterra hierarchy (MFVH) as an example of a generalized integrable system. We study the Hirota bilinear equation and the Virasoro symmetry for this hierarchy. As a reduction of the MFVH from a commutative subalgebra, we construct the fractional \(Z_N\)-Volterra hierarchy and its Virasoro symmetry.
中文翻译:
多分量分数 Volterra 层次结构及其具有 Virasoro 对称性的子层次结构
摘要
使用哈密顿结构和 tau 对称性,我们构建了一个多分量分数 Volterra 层次结构 (MFVH) 作为广义可积系统的一个例子。我们研究了该层次结构的 Hirota 双线性方程和 Virasoro 对称性。作为交换子代数的 MFVH 的约简,我们构造分数\(Z_N\) -Volterra 层次结构及其 Virasoro 对称性。