Bilinearizations to the Camassa-Holm equation, Degasperis-Procesi equation and their short-wave models

Title: Bilinearizations to the Camassa-Holm equation, Degasperis-Procesi equation and their short-wave models

 

Speaker: Prof. Baofeng FENG (University of Texas-Pan American, USA)

 

Time: 4:00-5:00 pm; June 7; 2013

 

Place: Conference Room A304, Department of Mathematical Sciences

 

AbstractIn this talk, we will review our recent work on the study of Camassa-Holm (CH) and Degasperis-Procesi (DP) equations by Hirota's bilinear approach. By reduction technique, we construct bilinear equations and the corresponding tau-functions for the CH and DP equations, which originates from AKP and CKP hierarchies, respectively, through appropriate hodograph (reciprocal) transformations. As a by-product, multi-soliton solution to the CH and DP equations are given. By taking a limit for a parameter in the bilinear equations and tau-functions to the CH and the DP equation, we show that how the bilinear equations and tau-functions are constructed for the Hunter-Saxton and the reduced Ostrovsky equations.

 

ContactRunliang Lin