Gauge transformation and symmetries of the commutative multi-component BKP hierarchy
Exactly Solvable and Integrable Systems
2016-02-24 v1 Mathematical Physics
math.MP
Abstract
In this paper, we defined a new multi-component BKP hierarchy which takes values in a commutative subalgebra of . After this, we give the gauge transformation of this commutative multi-component BKP (CMBKP) hierarchy. Meanwhile we construct a new constrained CMBKP hierarchy which contains some new integrable systems including coupled KdV equations under a certain reduction. After this, the quantum torus symmetry and quantum torus constraint on the tau function of the commutative multi-component BKP hierarchy will be constructed.
Keywords
Cite
@article{arxiv.1602.07156,
title = {Gauge transformation and symmetries of the commutative multi-component BKP hierarchy},
author = {Chuanzhong Li},
journal= {arXiv preprint arXiv:1602.07156},
year = {2016}
}
Comments
15 pages