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Rogue periodic waves in the derivative nonlinear Schrodinger equation

发布时间:2022-11-17 浏览量:69

时   间:  2022-11-17 10:00 — 11:00

地   点:  腾讯会议APP4()
报告人:  陈金兵
单   位:  东南大学
邀请人:  虞国富
备   注:  腾讯会议:997-980-705
报告摘要:  

The DNLS equation is the canonical model for dynamics of nonlinear waves in plasma physics and optics. We study exact solutions describing rogue waves on the background of periodic standing waves in the DNLS equation. We show that the space-time localization of a rogue wave is only possible if the periodic standing wave is modulationally unstable. If the periodic standing wave is modulationally stable, the rogue wave solutions degenerate into algebraic solitons propagating along the background and interacting with the periodic standing waves. Maximal amplitudes of rogue waves are found analytically and confirmed numerically. This is a joint work with Dmitry Pelinovsky and Jeremy Upsal.