10月19日 安红利:Analytical Cartesian solutions of the multi-component Camassa-Holm equations(69周年校庆系列学术报告)

来源:pt真人平台 时间:2020-10-11浏览:10设置


讲座题目:Analytical Cartesian solutions of the multi-component Camassa-Holm equations

主讲人:安红利  教授

主持人:陈勇

开始来源:pt真人平台 时间:2020-10-19  13:00:00  结束来源:pt真人平台 时间:2020-10-19  14:00:00

讲座地址:腾讯会议  ID412 906 192

主办单位:数学科学学院

 

报告人简介:

       安红利,南京农业大学教授,博士。荣获钟山学者——学术新秀,江苏高校“青蓝工程”优秀骨干青年教师。

 

报告内容:

Here, we give the existence of analytical   Cartesian solutions of the multi-component Camassa-Holm (MCCH) equations.Such   solutions can be explicitly expressed, in which the velocity function is   given by u=b(t)+A(t)x and no extra constraint on the dimension N is required.   The advantage of our method is that we turn the process of analytically   solving MCCH equations into algebraically constructing the suitable matrix   A(t). As the applications, we obtain some interesting results: 1) If u is a   linear transformation on x  , then p takes a quadratic form of x. 2) If A = f(t)I +D with  = ?D, we obtain the spiral solutions. When N   = 2, the solution can be used to describe “breather-type” oscillating motions   of upper free surfaces. 3) If A = we obtain the generalized elliptically   symmetric solutions. When N = 2, the solution can be used to describe the   drifting phenomena of the shallow water flow.

 


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