A strongly coupled extended Toda hierarchy and its Virasoro symmetry
Exactly Solvable and Integrable Systems
2019-07-24 v1
Abstract
As a generalization of the integrable extended Toda hierarchy and a reduction of the extended multicomponent Toda hierarchy, from the point of a commutative subalgebra of , we construct a strongly coupled extended Toda hierarchy(SCETH) which will be proved to possess a Virasoro type additional symmetry by acting on its tau-function. Further we give the multi-fold Darboux transformations of the strongly coupled extended Toda hierarchy.
Keywords
Cite
@article{arxiv.1907.04689,
title = {A strongly coupled extended Toda hierarchy and its Virasoro symmetry},
author = {Chuanzhong Li},
journal= {arXiv preprint arXiv:1907.04689},
year = {2019}
}
Comments
16 Pages. arXiv admin note: text overlap with arXiv:1410.3657, arXiv:1504.06125, arXiv:1403.0684