题目： Rogue waves and modulational instability on the background of periodic standing waves in the focusing NLS equation

报告人：陈金兵，东南大学

时间：2020年12月15日（星期二） 20:00--21:00

腾讯会议：140 656 876

摘要：We present exact solutions for rogue waves arising on the background of periodic standing waves in the focusing nonlinear Schr\{o}dinger equation. The exact solutions are obtained by characterizing the Lax spectrum related to the periodic standing waves and by using the one-fold Darboux transformation. The magnification factor of the rogue waves is computed in the closed analytical form. We relate the rogue wave solutions to the modulation instability of the background of the periodic standing waves.