The Extended Toda Hierarchy
可精确求解与可积系统
2007-05-23 v2 高能物理 - 理论
微分几何
摘要
We present the Lax pair formalism for certain extension of the continuous limit of the classical Toda lattice hierarchy, provide a well defined notion of tau function for its solutions, and give an explicit formulation of the relationship between the topological sigma model and the extended Toda hierarchy. We also establish an equivalence of the latter with certain extension of the nonlinear Schr\"odinger hierarchy.
关键词
引用
@article{arxiv.nlin/0306060,
title = {The Extended Toda Hierarchy},
author = {Guido Carlet and Boris Dubrovin and Youjin Zhang},
journal= {arXiv preprint arXiv:nlin/0306060},
year = {2007}
}
备注
23 pages, a remark at the end of Section 4 added