学术报告：2018.5.16日下午2:00-5:00，Dmitry Pelinovsky，McMaster University

报告人

Dmitry Pelinovsky

单位

McMaster   University数学系

报告题目

Rogue waves on the periodic background

报告时间

2018年5月16日下午14：00-17：00

地点

bevictor伟德官网第一报告厅

邀请人

陈金兵

报告摘要

Rogue periodic waves stand for gigantic waves on a periodic background. 

The nonlinearSchrodinger equation in the focusing case admits two families of periodic wave solutionsexpressed by the Jacobian elliptic functions dn and cn. Both periodic waves aremodulationally unstable with respect to long-wave perturbations. Exact solutions for therogue periodic waves are constructed by using the explicit expressionsfor the periodic eigenfunctions of theZakharov–Shabat spectral problem andthe Darboux transformations. These exact solutions generalize the classical rogue wave(the so-called Peregrine’s breather). Computations of rogue periodic waves rely onproperties of the nonlinear Schrodinger equation due to its integrability.

报告人简介

Dmitry Pelinovsky 教授中文简介：

Dr. Dmitry Pelinovsky, McMaster University数学系教授，主要从事analysis of PDE, integrable systems and   solitons, numerical computations等方向的研究，已在国际期刊：Communications in pure and applied   Mathematics, SIAM Journal of Mathematical Analysis, Communications in Mathematical   Physics, Communications in PDEs, Physics Reviewer Letters, Review in   Mathematical Physics, AMS Contemporary Mathematics, Annales Henri   Poincare, Inverse Problems, Nonlinearity, Studies in Applied Mathematics,   Physica D等杂志发表200多篇SCI学术论文(H-index 34)，并出版三本专著，1, Localization in Periodic potential; 2,   Numerical Mathematics; 3, Nonlinear Physical System.目前还担任Studies in Applied Mathematics和Physica D编委，曾担任Physica Review A, Advance in Mathematical   Physics 等多个期刊的编委。