理工学院logo
博学笃行 止于至善
导航菜单
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: 272

学术报告

 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

 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.

 间:

1119日 星期四 20:00—21:00

 式:

腾讯会议

会议 ID417 145 989

会议密码:1119

邀请人:

田凯 副教授

 

 

 


XML 地图