歷史演講・102 學年度下學期
201405/05週一 演講

Long-time asymptotics of Camassa-Holm equations

張覺心博士台大理論科學研究中心 下午 3:00–4:30 鴻經館 107 室
摘要: Camassa-Holm (CH) equation is one of the important integrable systems which describes the behaviors of shallow water waves. The long-time asymptotic behaviors of the solutions is studied by the Riemann-Hilbert methods. In this talk, we consider the CH equation with a specified initial data to obtain the scattering data which is non-reflectionless by solving the scattering problem for the Lax pair of CH equation. under this data, from numerical simulation we can obtain the long-time behaviors of solutions which guarantee the previous results.