Special Session 141: 

Analysis on some two-component completely integrable systems with peakon solutions and cubic nonlinearity

Kai Yan
Huazhong University of Science and Technology
Peoples Rep of China
Co-Author(s):    Zhaoyang Yin, Zhijun Qiao, Yufeng Zhang
Abstract:
In this talk, we first introduce some classes of two-component completely integrable systems with peakon solutions and cubic nonlinearity. Then the local well-posedness and the blow-up criterion will be established. Some new blow up strong solutions and asymptotic behavior will be studied as well. Finally, we will give some related open problems.