Title: Darboux transformation and soliton equations.
Speaker: Yehui Huang (North China Electric Power University).
Date: Thursday, February $20^{th}$
Time: 11:00am
Place: CIS 1045
Abstract: In this talk, I will introduce a transformation originated
by Darboux in his study of the linear Sturm-Liouville problem. By
generalized Darboux transformations, I will present a solution formula
with multiple parameters for some soliton equations, including KdV and
NLS. After taking special choices for the seed solution and the
eigenfunctions, different types of exact solutions are derived, which
include solitons, breathers and rogue wave solutions.