A short wave model of the two-component Degasperis-Proceli equation

报告题目：A short wave model of the two-component Degasperis-Proceli equation

报告人：冯宝峰 教授（Department of Mathematics, University of Texas-Pan, American）

主持人：陈    勇 教授

时间：2016年6月5日 9:00-11:00

地点：理科大楼B1102

报告摘要：

In the present talk, we propose a short wave model of the two-component Degasperis-Proceli equation. First, we give a review on the bilinear equation of extended BKP hierarchy which derives the reduced Ostrovsky equation, or the short wave model of the Degasperis-Proceli equation by periodic 3 reduction. Starting from the same bilinear equation, we will show a two-component reduced Ostrovsky equation can be derived by a pseudo 3-reduction. As a byproduct, its N-soliton solution in terms of pfaffians are constructed. Furthermore, we give the Lax pair of the two-component reduced Ostrovsky equation to assure the integrability of the proposed equation.

报告人简介： 

冯宝峰教授，男，理学博士。1989年于清华大学获学士学位，1997年取得日本名古屋大学获硕士学位，2000年于日本京都大学获博士学位。美国德克萨斯大学数学系教授，在可积系统和离散的可积系统，偏微分方程科学计算和数值方法（PDE），非线性波，格点的形成和摄动方法等众多领域发表多篇学术论文。