System of nonlinear Schrodinger equations with δ-functions as initial data
主 题: System of nonlinear Schrodinger equations with δ-functions as initial data
报告人: Prof. Naoyasu Kita (Kumamoto University )
时 间: 2017-06-05 16:00-17:00
地 点: 理科1号楼1365
Abstract: In this talk, the initial value problem of a system of nonlinear Schr\"odinger equations will be considered. When the initial data consists of δ-functions, the solution is represented in almost explicit form. This research was inspired by the work of Doi-Shimizu. We are going to try some generalization of their result. Unlike the single case, some feature appears in the asymptotic behavior of the solution, which is typical to the system.