数学系Seminar第1763期 Novikov尖峰孤子格与BKP型的有限Toda格

创建时间:  2019/03/01  龚惠英   浏览次数:   返回

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:理学院数学系
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.   

 

 


欢迎教师、学生参加!

上一条:数学系Seminar第1759期 Positive Scalar Curvature on Foliations

下一条:数学系Seminar第1762期 修正Camass-Holm方程的Lax可积性与尖峰孤子


数学系Seminar第1763期 Novikov尖峰孤子格与BKP型的有限Toda格

创建时间:  2019/03/01  龚惠英   浏览次数:   返回

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:理学院数学系
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.   

 

 


欢迎教师、学生参加!

上一条:数学系Seminar第1759期 Positive Scalar Curvature on Foliations

下一条:数学系Seminar第1762期 修正Camass-Holm方程的Lax可积性与尖峰孤子