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The Extended Toda Hierarchy | | Guido Carlet
; Boris Dubrovin
; Youjin Zhang
; | | Date: |
29 Jun 2003 | | Subject: | Exactly Solvable and Integrable Systems; Differential Geometry | nlin.SI hep-th math.DG | | Abstract: | 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 $CP^1$ topological sigma model and the extended Toda hierarchy. We also establish an equivalence of the latter with certain extension of the nonlinear Schrödinger hierarchy. | | Source: | arXiv, nlin.SI/0306060 | | Services: | Forum | Review | PDF | Favorites | |
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