3月25日

8:30-11：30

数学楼108室

Integrable System I: KdV equation   and classical solitons

In this talk, we show the   classical procedure about how to get the KdV Integrable System and other   classical solitons. We study the negative KdV flows and related peakon,   cuspon, and compacton solutions.

3月25日

19:00-20:00

7教103室

Graduate programs in mathematical   sciences at UTRGV

面向数学学院高年级本科生

3月26日

8:30-11:30

数学楼108室

Integrable   System II：Burgers equation and kinks

We discuss the well-known Burgers   equation and show why this equation does not have regular solitons and only   has kink wave solutions. We connect the kink waves to the negative KdV   equation and found the negative KdV equation not only has regular solitons,   but the kink solutions as well.

3月27日

8:30-11:30

数学楼108室

Integrable   System III：Functional gradient and Lenard operators

This talk provides a method to   compute functional gradient of the eigenvalue problem, and furthermore to get   the Lenard operators.

3月28日

8:30-11:30

数学楼108室

Integrable   System IV：Integrable system and Lax pair

This talk presents a systemic   approach to seek the Lax   presentation starting from an eigenvalue problem.

3月29日

8:30-11:30

数学楼108室

Integrable   System V：Integrable hierarchy

This   talk provides a key operator equation to get the Lax presentation for the   integrable hierarchy produced through a pair of Lenard operators from an   eigenvalue problem.