| Abstract: | By scrutinizing the process in generating bilinear equations of two types of modified Camassa-Holm equations: one with linear term, the other without linear term, we found two semi-discrete analogues of those two set of bilinear equations. Then, through tedious calculations, we are able to propose two types of integrable semi-discretizations corresponding to mCH equation with and without linear term. The former is a joint work with Guo-Fu Yu and Han-Han Zhang, the latter is a joint work with Henchun Hu. |
