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6月16日-物理学科云端学术报告(李彪教授 ,宁波大学 ;程雪苹 教授、杨云青教授,浙江海洋大学 )

作者:研究生办-马俊  发布者:研究生办-马俊   发布时间:2022-06-15  浏览次数:49

【报告时间】616日下午1:30开始
腾讯会议号845 261 937

报告一:

【报 告 人】宁波大学 李彪教授

【报告题目】Construction of higher-order smooth positons and breather positons via Hirota’s bilinear method

【报告摘要】Based on the Hirota’s bilinear method, a more classic limit technique is perfected to obtain second-order smooth positons. Immediately afterwards, we propose an extremely ingenious limit approach in which higher-order smooth positons and breather positons can be quickly derived from N-soliton solution. Under this ingenious technique, the smooth positons and breather positons of the modified Korteweg-de Vries system are quickly and easily derived. Compared with the generalized Darboux transformation, the approach mentioned in this paper has the following advantages and disadvantages: the advantage is that it is simple and fast; the disadvantage is that this method cannot get a concise general mathematical expression of nth-order smooth positons.

 

报告二:

【报 告 人】程雪苹教授,浙江海洋大学

【报告题目】Soliton Molecule and Breather-Soliton Molecule Structures for a General Sixth-Order Nonlinear Equation  

【报告摘要】Starting from a general sixth-order nonlinear wave equation, we present its multiple kink sohtions, which are related to the famous Hirota formWe also investigate the restrictions on the coefficients of this wave equation for possessing multiple kink structuresBy introducing the velocity resonance mechanism to the multiple kink solutionswe obtain the soliton molecule solution and the breather-soliton molecule solution of the sixth-order nonlinear wave equation with particular coetiicientsThe three-dimensional image and the density map of these soliton molecule solutions with certain choices of the involved free parameters are well exhibitedAfter matching the parametric restrictions of the sixth-order nonlinear wave equation for having three-kink solution with the coeffcients of the integrable bidirectional Sawada-Kotera-Caudrey-Dodd-Gibbons (SKCDG) equationthe breather-soliton molecule solution for the bidirectional SKCDG equation is also illustrated


报告三:

【报 告 人】杨云青教授,浙江海洋大学

【报告题目】Darboux-Backlund transformation and localized excitation on the periodic wave background for the nonlinear Schrodinger equation
【报告摘要】We construct the exact nonlinear wave solutions of the Nonlinear Schr¨odinger equation on the period wave background instead of on a constant background. By using Darboux-Backlund transformation, soliton and breather solutions on two types of cnoidal wave backgrounds are given. The density evolutions of these solutions are given under different parameters to study their wave structures and dynamical properties.

 

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