2020.11.19,田守富 特聘研究员,Long time asymptotic behavior of a coupled generalized nonlinear Schrödinger equation via D-bar method
发布时间: 2020-11-16 14:54 作者: 点击: 284
学术报告
题 目: |
Long time asymptotic behavior of a coupled generalized nonlinear Schrödinger equation via D-bar method |
报告人: |
田守富 特聘研究员、博士生导师,中国矿业大学 |
摘 要: |
In this talk, we study the Cauchy problem for a coupled generalized nonlinear Schrödinger (cgNLS) equation. Using the D-bar generalization of the non-linear steepest descent method we compute the long-time asymptotic expansion of the solution in any fixed space-time cone up to an (optimal) residual error of order O(t^{−3/4}). In each cone the leading order term in this expansion is a multi-soliton whose parameters are modulated by soliton–soliton and soliton–radiation interactions as one moves through the cone. Our results require that the initial data possess one L^2(R) moment and (weak) derivative and that it not generate any spectral singularities. |
时 间: |
11月19日 星期四 20:00—21:00 |
方 式: |
腾讯会议 会议 ID:417 145 989 会议密码:1119 |
邀请人: |
田凯 副教授 |