Display Abstract

Title The semi- and full-discretizations for the short-wave model of the Camassa-Holm equation

Name Baofeng Feng
Country USA
Email feng@utpa.edu
Co-Author(s) Ken-ichi Maruno and Yasuhiro Ohta
Submit Time 2010-02-23 20:50:14
Session
Special Session 66: Discrete Integrable Systems
Contents
In this talk, semi- and full-discretizations for the short-wave model of the Camassa-Holm equation (SCHE) will be proposed based on Hirota's bilinear method. The above equation is of importance in physics, and admit cuspon solutions. First, We will show the link between these soliton equations and the two-dimensional Toda-lattice through the hodograph transformations. Then, the integrable semi-discretizations will be derived from the semi-discretization of 2DTL. Further, the full-discretizations will be deduced by using the B{\"a}cklund transformations of 2DTL.