报告题目：Stability of Non-smooth Solutions to Integrable Systems with Nonlinear Dispersion

报告时间：2021-11-05  10:30-11:30

报告人：屈长征 教授  宁波大学

报告地点：国家天元数学中部中心东北楼404报告厅

主办单位：国家天元数学中部中心  武汉大学数学与统计学院

Abstract: It is well-known that the classical integrable systems adapt solitons, solitons reflect various nice properties of integrable systems. The existence of non-smooth solitons is an nontrivial feature of integrable systems with nonlinear dispersion. In this talk, we shall discuss stability of non-smooth solitons of integrable systems with nonlinear dispersion. First, we shall study the orbital stability of peaked solitons of scalar equations. Second, orbital stability of peaked solitons to systems is discussed. Finally a Liouville property to an integrable system is investigated.