学术报告
报告题目：Novel solitons and their physical properties in coupled nonlinear Schrödinger equation hierarchy
报告时间：2025年11月14日 11:00-12：00
报 告 人：秦艳红 新疆大学副教授
腾讯会议： 623-110-206
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报告摘要：In this talk, using the Darboux transformation method, we analytically derive exact soliton solutions for multicomponent attractive and repulsive Bose-Einstein condensates described by Manakov equations, obtaining multihump bright solitons and multivalley dark solitons, respectively. For multihump bright solitons, the bright solitons with nodes strikingly correspond to excited bound states in effective quantum wells. For multivalley dark solitons, the velocity and phase jump regions are significantly influenced by width-dependent parameters. Furthermore, we show that interactions between these novel solitons are generally inelastic, due to both incoherent interactions between solitons in different components and coherent interactions between solitons in the same component. More recently, we have also derived a family of multihump-multivalley solitons in birefringent nonlinear fibers governed by the coupled Fokas-Lenells system. We demonstrate the existence of solitons with arbitrary multihump-multivalley structures on a plane wave background. These novel vector solitons significantly enrich the family of solitons in integrable systems.
报告人简介：秦艳红，博士，副教授，硕士生导师，主要从事可积系统中非线性局域波动力学的研究，在Phys. Rev. A/E、Chaos等期刊上发表论文10余篇，主持国家自然科学基金项目2项，主持省部级项目3项。