理学院数理讲坛(2018年第12讲)
报告题目:Rogue waves in the reverse time integrable nonlocal nonlinear equations
报告人:陈勇 华东师范大学 教授
报告时间:2018年4月21日(星期六)8:00-9:00
报告地点:阳明学院303
报告摘要:1. By using Darboux transformation method, we derive general rogue waves for these three nonlocal equations, solutions formulas are given under certain reductions of wave functions and adjoint wave fuctions. 2.More interestingly, we find a unied binary DT for this nonlocal DS syste. Thus, rogue wave solutions in nonlocal DSI and DSII equation can be expressed in a unied formula. 3. Dynamics of these rogue waves in further analyzed.For these reverse-time nonlocal equations, it is shown that general rogue waves can be bounded all space and time. More importantly, they can also develop finite-time collapsing singularities.