NCTS(South)/ NCKU Math Colloquium | |
DATE | 2014-06-19¡@16:10-17:00 |
PLACE | R204, 2F, NCTS, NCKU |
SPEAKER | Dr. Chueh-Hsin Chang¡]Postdoc, Taida Institute for Mathematical Sciences¡^ |
TITLE | Long-Time Asymptotics of Camassa-Holm Equations |
ABSTRACT | 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. |