报告名称：PT-symmetric peakon solutions and stability in focusing/defocusing power-law nonlinear media

主讲人：闫振亚 研究员

邀请人：黄丽丽 助理研究员

时间：2023年11月2日 17: 30

地点：江南娱乐体育官网入口326会议室

主办单位：江南娱乐体育官网入口

报告摘要

In this report, we report a class of new PT-symmetric δ(x)-csch potentials in the linear and nonlinear systems. Firstly, we study the parameter regions for the PT phase transitions of the Hamiltonians. Then we find that the both self-focusing and defocusing generalized NLS equations with the PT potential can possess csch-type peakon solutions, whose stable parameter regions are given. We also study numerical peakon solutions and their stability for different propagation constants. Finally, we investigate the interactions and stable adiabatic excitations of peakons.

 

专家简介

闫振亚，中科院数学与系统科学研究院，研究员，博士生导师。曾获国家杰出青年科学基金项目、全国百篇优博论文奖等。主要研究非线性波与可积系统理论、Riemann-Hilbert问题、怪波理论、PT对称、分数阶系统、智能数学物理、符号-数值计算与机器学习及其交叉应用。