63 citations · 222 across the 25 of their papers we have counts for
25 papers
A note on the extended dToda hierarchy
Niann-Chern Lee, Ming-Hsien Tu
We give a derivation of dispersionless Hirota equations for the extended dispersionless Toda hierarchy. We show that the dispersionless Hirota equations are nothing but a direct co…
Kernel Formula Approach to the Universal Whitham Hierarchy
Hsin-Fu Shen, Niann-Chern Lee, Ming-Hsien Tu
We derive the dispersionless Hirota equations of the universal Whitham hierarchy from the kernel formula approach proposed by Carroll and Kodama. Besides, we also verify the associ…
On the String Equation of the BKP Hierarchy
Hsin-Fu Shen, Ming-Hsien Tu
The Adler-Shiota-van Moerbeke formula is employed to derive the -constraints for the -reduced BKP hierarchy constrained by the string equation. We also provide the Grassmanni…
A Note on Symmetries of WDVV Equations
Yu-Tung Chen, Niann-Chern Lee, Ming-Hsien Tu
We investigate symmetries of Witten-Dijkgraaf-E.Verlinde-H.Verlinde (WDVV) equations proposed by Dubrovin from bi-hamiltonian point of view. These symmetries can be viewed as canon…
On the BKP hierarchy: additional symmetries, Fay identity and Adler-Shiota-van Moerbeke formula
Ming-Hsien Tu
We give an alternative proof of the Adler-Shiota-van Moerbeke formula for the BKP hierarchy. The proof is based on a simple expression for the generator of additional symmetries an…
On Kernel Formulas and Dispersionless Hirota Equations
Yu-Tung Chen, Ming-Hsien Tu
We rederive dispersionless Hirota equations of the dispersionless Toda hierarchy from the method of kernel formula provided by Carroll and Kodama. We then apply the method to deriv…