TY - JOUR T1 - One Parameter Deformation of Symmetric Toda Lattice Hierarchy AU - Xiong , Zhen JO - Communications in Mathematical Research VL - 1 SP - 47 EP - 53 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.01.05 UR - https://global-sci.org/intro/article_detail/cmr/13502.html KW - Hom-Lie algebra, deformation, symmetric Toda hierrchy AB -

In this paper, we study one parameter deformation of full symmetric Toda hierarchy. This deformation is induced by Hom-Lie algebras, or is the applications of Hom-Lie algebras. We mainly consider three kinds of deformations, and give solutions to deformations respectively under some conditions.