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An unified tau-function structure for the Degasperis-Procesi equation and the Novikov equation
时间  Datetime
2019-12-09 12:30 — 13:30 
地点  Venue
630
报告人  Speaker
Baofeng Feng
单位  Affiliation
University of Texas Rio Grande Valley
邀请人  Host
Zuonong Zhu
报告摘要  Abstract

It is known that, through hodograph (reciprocal) transformation, Degasperis-Procesi

(DP) equations is linked to the negative flow of the Kaup-Kuperschmidt (KK) hierarchy

while the Novikov equation is connected to the negative flow of the Sawada-Kotera (SK) hierarchy.

 Both the solutions of the KK and SK equations are linked to the solution of

the modified KK equation. In this talk, we will show how to derive the DP equation and

Novikov equation from the pseudo-3 reductions of the CKP and BKP hierarchies, respectively

and reveal an unified tau-function structure behind the DP and Novikov equations with a

standard pfaffian lattice as the building blocks.