报告主题:Novikov尖峰孤子格与BKP型的有限Toda格
报告人:常向科 副研究员(中国科学院)
报告时间:2019年3月5日(周二)9:30-11:00
报告地点:校本部G507
邀请人:张大军
主办部门:太阳成集团tyc33455数学系
报告摘要:The Novikov equation is an integrable analogue of the Camassa-Holm equation with a cubic (rather than quadratic) nonlinear term and supports a special family of weak solutions called multipeakon solutions as well. First, we show that the Novikov peakon ODEs describe an isospectral flow on the manifold cut out by certain Pfaffian identities and interpret the delicate difference from the Degasperis-Procesi peakons. Then, a link between the Novikov peakons and the finite Toda lattice of BKP type (B-Toda lattice) is established based on the use of Pfaffians.
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