Additional symmetry of the modified extended Toda hierarchy
Mathematical Physics
2013-09-19 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, one new integrable modified extended Toda hierarchy(METH) is constructed with the help of two logarithmic Lax operators. With this modification, the interpolated spatial flow is added to make all flows complete. To show more integrable properties of the METH, the bi-Hamiltonian structure and tau symmetry of the METH will be given. The additional symmetry flows of this new hierarchy are presented. These flows form an infinite dimensional Lie algebra of Block type.
Keywords
Cite
@article{arxiv.1309.4532,
title = {Additional symmetry of the modified extended Toda hierarchy},
author = {ChuanZhong Li and Jingsong He},
journal= {arXiv preprint arXiv:1309.4532},
year = {2013}
}
Comments
13 pages