Speaker:    

虞国富 教授，上海交通大学
Inviter:      
Title:
    Integrable semi-discretization of the modified Camassa-Holm equation with linear dispersion term
Time & Venue:
    2021.11.19 16:30-17:30 腾讯会议 ID：783 424 600
Abstract:
    

In this talk, we are concerned with integrable discretization of a modified Camassa-Holm equation with linear dispersion term. Firstly, we show that these bilinear equations and their determinant solutions either in Gram-type or Casorati-type can be reduced from the discrete KP equation through Miwa transformation. Then, by scrutinizing the reduction process, we obtain a set of semi-discrete bilinear equations and their general soliton solution in Gram-type or Casorati-type determinant form. Finally, by defining dependent variables and discrete hodograph transformations, we derive an integrable semi-discrete analogue of the modified Camassa-Holm equation. It is also shown that the semi-discrete modified Camassa-Holm equation converges to the continuous one in the continuum limit. This is a joint work with Baofeng Feng and Hanhan Sheng.
--
FROM 202.121.181.*