New 2 1 dimensional nonisospectral Toda lattice hierarchy

作者:Gordoa, P R*; Pickering, A; Zhu, Z N
来源:Journal of Mathematical Physics, 2007, 48(2): 023515.
DOI:10.1063/1.2436983

摘要

We give a new 2 1 dimensional nonisospectral generalization of the Toda lattice hierarchy. Reductions yield a variety of new integrable hierarchies along with their underlying linear problems, including new 1 1 dimensional differential-delay hierarchies (nonisospectral and isospectral), new ordinary differential-delay hierarchies, and new discrete Painleve hierarchies. We also show that a reduction in components yields our previously obtained 2 1 dimensional nonisospectral Volterra lattice hierarchy.