Integrable semi-discretizations of a two-component reduced Ostrovsky equation
报告题目:Integrable semi-discretizations of a two-component reduced Ostrovsky 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7日 15:00-17:00
地点:中山北路校区理科大楼B1102
报告摘要:
Based on a two-component reduced Ostrovsky equation, or a short wave model of the two-component Degasperis-Proceli equation we recently proposed, we will show how to construct its integrable semi-discretization of this new model. We start with a modied BKP hierarchy, which is a Backlund transformation of the extended BKP hierarchy which gives the two-component reduced Ostrovsky equation, an integrable semi-discrete analogue of the two-component reduced Ostrovsky equation is constructed by dening an appropriate discrete hodograph transformation and dependent variable transformations. Meanwhile, its N-soliton solution in terms of pfaffian is also provided. Interestingly, the backward difference form of above semi-discrete two-component reduced Ostrovsky equation gives rise to the integrable semi-discretization of the short wave model of a two-component DP equation, which strongly implies the integrability of the two-component DP 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。