Remarks on the waterbag model of dispersionless Toda Hierarchy
Jen-Hsu Chang
TL;DR
This paper constructs the free energy for the waterbag model of the dispersionless Toda hierarchy and investigates the relations among conserved densities, providing insights into the model's mathematical structure.
Contribution
It introduces the explicit form of the free energy for the waterbag model and explores the relations between conserved densities, advancing understanding of the dispersionless Toda hierarchy.
Findings
Explicit free energy expression derived
Relations among conserved densities analyzed
Contributions to the mathematical understanding of dToda
Abstract
We construct the free energy associated with the waterbag model of dToda. Also, the relations of conserved densities are investigated
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