Quantum Torus symmetries of the CKP and multi-component CKP hierarchies
Exactly Solvable and Integrable Systems
2017-12-06 v1 Mathematical Physics
math.MP
Abstract
In this paper, we construct a series of additional flows of the CKP hierarchy and the multi-component CKP hierarchy and these flows constitute a N-folds direct product of the positive half of the quantum Torus symmetry. Comparing to the infinite dimensional Lie symmetry, this quantum Torus symmetry has a nice algebraic structure with double indices.
Keywords
Cite
@article{arxiv.1710.10905,
title = {Quantum Torus symmetries of the CKP and multi-component CKP hierarchies},
author = {Qiufang Liu and Chuanzhong Li},
journal= {arXiv preprint arXiv:1710.10905},
year = {2017}
}
Comments
12 Pages, to appear in Journal of Mathematical Physics