耦合非局部NLS方程的DBar 方法及非局部约化

报告题目：耦合非局部NLS方程的DBar 方法及非局部约化

报告人：朱俊逸，教授，博士生导师

报告时间：2021年12月10日10:00-11:00

腾讯会议：会议 ID：523-482-247

欢迎全校师生参加！

报告摘要：The coupled nonlocal NLS equation is studied by virtue of the 2 ×2 Dbarproblem. Two spectral transform matrices are introduced to define two associated Dbar-problems. The relations between the coupled nonlocal NLS potential and the solution of the Dbar-problem are constructed. The spatial transform method is extended to obtain the coupled nonlocal NLS equation and its conservation laws. The general nonlocal reduction of the coupled nonlocal NLS equation to the nonlocal NLS equation is discussed in detail. The explicit solutions are derived.

专家简介：朱俊逸，郑州大学数学与统计学院教授，博士生导师。河南省高校青年骨干教师，美国德克萨斯大学访问学者。主要从事非线性可积系统的精确解、反谱变换的应用研究。主持2项国家自然科学基金项目和1项河南省自然科学基金项目。《J. Nonlinear Math. Phys.》编委。