活动时间：2025-09-30 14:00

活动地点：2号学院楼 542室

主讲人：秦艳红

主讲人中文简介：

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，中国博士后科学基金项目1项，新疆自治区“天池英才”引进计划项目1项，新疆自治区自然科学基金1项和新疆自治区教育厅项目1项。

活动内容摘要：

Vector solitons have been extensively investigated both experimentally and theoretically in various nonlinear systems, particularly in Bose-Einstein condensates and nonlinear optical fibers, owing to their high experimental accessibility. 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.

主持人：孙暄