| Abstract: |
| A class of nonlinear integrable PDEs, such as the celebrated Camassa-Holm (CH) equation, Degasperis-Procesi (DP) equation, admit some special weak solutions called ``peakons''. Their N-peakons may be explicitly constructed by analyzing the regularizations of the smooth Lax pairs in peakon sectors and solving the associated inverse boundary value problems.
In this talk, I will introduce some recent results on explicit constructions of peakons for some modifications of the CH equation, such as mCH/FORQ, 2mCH/SQQ, NLSP and HP equations. This talk is based on my several works with Stephen Anco, Xing-Biao Hu and Jacek Szmigielski. |
|