Coupled Integrable Systems Associated with a Polynomial Spectral Problem and their Virasoro Symmetry Algebras
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
An isospectral hierarchy of commutative integrable systems associated with a polynomial spectral problem is proposed. The resulting hierarchy possesses a recursion structure controlled by a hereditary operator. The nonisospectral flows generate the time first order dependent symmetries of the isospectral hierarchy, which constitute Virasoro symmetry algebras together with commutative symmetries.
Keywords
Cite
@article{arxiv.solv-int/9607003,
title = {Coupled Integrable Systems Associated with a Polynomial Spectral Problem and their Virasoro Symmetry Algebras},
author = {Wen-Xiu MA and Zi-Xiang ZHOU},
journal= {arXiv preprint arXiv:solv-int/9607003},
year = {2009}
}
Comments
8 pages, Plain-tex, to appear in Prog. Theor. Phys