|Speaker :||Dr. Yusuke Shimabukuro (Academia Sinica)|
|Title :||On the Wadati-Konno-Ichikawa equation|
|Time :||2017-03-03 (Fri) 15:00 -|
|Place :||Seminar Room 617, Institute of Mathematics (NTU Campus)|
Many things about the integrable dispersive PDEs in one space dimension are known if solution lives in function space smooth enough. There have been a number of results in well-posedness and stability of soliton. There are yet surprises, for example, exotic exact solutions such as loop soliton, peakon, compacton, and so on. The Wadati-Konno-Ichikawa (WKI) equation admits a bursting soliton whose maximum hight is infinity. In this talk, we address existence of smooth global solution for the WKI equation if initial data is small and smooth. Furthermore, we show that the WKI equation admits a finite-time blowup soliton.
The blowup result is a joint work with Hsiao-Fan Liu.