学术报告(杜增吉 11.9)

The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach

发布人:周妍 发布日期:2018-11-08
主题
The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach
活动时间
-
活动地址
新数学楼403+405
主讲人
杜增吉 副校长(江苏师范大学)

摘要:

In this talk, we discuss the Camassa-Holm equation, which is a model for shallow water waves. We first establish the existence of solitary wave solutions for the equation without delay. And then we prove the existence of solitary wave solutions for the equation with a special local delay convolution kernel and a special nonlocal delay convolution kernel by using the method of dynamical system, especially the geometric singular perturbation theory and invariant manifold theory. According to the relationship between solitary wave and homoclinic orbit, the Camassa-Holm equation is transformed into the ordinary differential equations with fast variables by using the variable substitution. It is proved that the equation with disturbance also possesses homoclinic orbit, and there exists solitary wave solution of the delayed Camassa-Holm equation.

 

数学学院

2018年11月8日