报告人：刘冲 教授
报告题目：Physics of breathers induced by nonlinear coupling
报告时间：2026年4月25日（周六）下午15：00
报告地点：腾讯会议：754-431-970
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
刘冲，西北大学教授、博导，西北大学理论物理团队核心成员，从事非线性可积系统研究，主要关注精确解及其新奇非线性局域激发动力学，与合作者在PRL、CPL、PR系列等发表论文40余篇，先后主持国家自然科学基金项目三项，获得国家青年B类自然科学基金项目。
报告摘要：
We present our recent advance on breathers induced by nonlinear coupling (i.e., vector or multicomponent breathers). As an example, we demonstrate that vector (two-component) breathers of the Manakov equations can be excited through a simple initial modulation imposed only on a single component. We investigate two types of breathers—vector rogue waves and super-regular breathers—that can be triggered by nonideal localized perturbations. Both fundamental and complex higher-order breathers can be generated using such initial modulations. The characteristic time of evolution corresponding to the maximum broadening of the spectra is analyzed in detail. It is shown that only the excitation of higher-order breathers allows for a difference in characteristic times between the two components. The variation of this time difference with respect to the parameters of the initial conditions is systematically analyzed.
