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SEMINARS
Generalized short pulse equations
时间  Datetime
2019-12-11 10:00 — 11:00 
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

Recently, Hone, Novikov and Wang have given a list of generalized short pulse equations

which are integrable. Among them, the short pulse equation, the modified short pulse

equation, the Hunter-Saxton equation and the reduced Ostrovsky equation have been known

previously and studied in the literature. In this talk, we will focus on two generalized short

pulse (gSP) equations which are not known until Hone et al.'s work. We will first present their

bilinearizations and multi-soliton solutions which are reduced from 3-reduction of negative

BKP/CKP hierarchies. There is a Miura transformation between the solutions of these two

gSP equations same as the Miura transformation between the Kaup-Kuperschmidt (KK)

equation and the modified Kaup-Kuperschmidt equation. The relations of these two

gSP equations and the reduced Ostrovsky equation will be discussed.