arXiv subjects

Hsin-Fu Shen

Publications and source records attributed to Hsin-Fu Shen.

2 recordsLinked to original sources

arXiv2010

Kernel Formula Approach to the Universal Whitham Hierarchy

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 associativity equations in this hierarchy from the dispersionless Hirota equations and give a realization of the associative algebra with structure constants expressed in terms of the residue formulas.

nlin.SI↗

arXiv2008

On the String Equation of the BKP Hierarchy

The Adler-Shiota-van Moerbeke formula is employed to derive the $W$-constraints for the $p$-reduced BKP hierarchy constrained by the string equation. We also provide the Grassmannian description of the string equation in terms of the spectral parameter.

nlin.SI↗