We give a new dimensional nonisospectral generalization of the Toda lattice hierarchy. Reductions yield a variety of new integrable hierarchies along with their underlying linear problems, including new dimensional differential-delay hierarchies (nonisospectral and isospectral), new ordinary differential-delay hierarchies, and new discrete Painlevé hierarchies. We also show that a reduction in components yields our previously obtained dimensional nonisospectral Volterra lattice hierarchy.
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© 2007 American Institute of Physics.
2007
American Institute of Physics
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