Dispersionless bigraded Toda Hierarchy and its additional symmetry
Chuanzhong Li, Jingsong He
TL;DR
This paper introduces the dispersionless bigraded Toda hierarchy (dBTH), explores its Sato theory, additional symmetries, and tau functions, advancing the mathematical understanding of integrable systems.
Contribution
It defines the dBTH, develops its Sato theory, and uncovers its additional Block symmetries and tau functions, which are novel contributions.
Findings
Defined the dispersionless bigraded Toda hierarchy (dBTH)
Established the Sato theory for dBTH
Identified the additional Block symmetries and tau functions
Abstract
In this paper, we firstly give the definition of dipersionless bigraded Toda hierarchy (dBTH) and introduce some Sato theory on dBTH. Then we define Orlov-Schulman's , operator and give the additional Block symmetry of dBTH. Meanwhile we give tau function of dBTH and some some related dipersionless bilinear equations.
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