One reduction of the modified Toda hierarchy
Jinbiao Wang, Wenchuang Guan, Mengyao Chen, Jipeng Cheng

TL;DR
This paper introduces a new reduction of the modified Toda hierarchy, called the generalized bigraded modified Toda hierarchy, and explores its relation to the Toda reduction and tau function formulations.
Contribution
It constructs a novel two-component hierarchy reduction of the mToda hierarchy and relates it to existing Toda reductions and tau function representations.
Findings
Defined the generalized bigraded modified Toda hierarchy.
Established relations with the Toda reduction.
Presented tau function formulations for the reductions.
Abstract
The modified Toda (mToda) hierarchy is a two-component generalization of the 1-st modified KP (mKP) hierarchy, which connects the Toda hierarchy via Miura links and has two tau functions. Based on the fact that the mToda and 1-st mKP hierarchies share the same fermionic form, we firstly construct the reduction of the mToda hierarchy and , called the generalized bigraded modified Toda hierarchy, which can be viewed as a new two-component generalization of the constrained mKP hierarchy . Next the relation with the Toda reduction is discussed. Finally we give…
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Taxonomy
TopicsGeophysics and Sensor Technology · Homotopy and Cohomology in Algebraic Topology
