报告时间：2022年12月8日 14:30开始
报 告 人：任博（浙江工业大学 教授）
报告地点：腾讯会议号504-464-547
报告题目：Soliton molecules，multi-lumps and multibreathers for (2+1)-dimensional Korteweg-de VriesSawada-Kotera-Ramani eguation
报告摘要：The(2+1)-dimensional Korteweg-de VriesSawada-Kotera-Ramani(KdVSKR) equation is proposedby extending one dimension of the (1+1)-dimensionaKdVSKR equation. The bilinear form of the (2+1)dimensional KdVSKR equation is obtained by thetransformation. The multi-solitons areindependentobtained by solving the Hirota bilinear form of the (2+1)dimensional KdVSKR equation. By using the long wavelimit method, the multi-order lumps are derived. Solitonmolecules of the KdVSKR equation are given by meansof the velocity resonance mechanism. Multi-breathersolutions are derived by selecting the complex conjugaterelations in the parameters. The relative positions for themaximum amplitudes of the multi-breathers can adjustwith different values of the phases. The phases of themulti-soliton solutions play an important effect in certainphenomena.In the meanwhile, the interactions between asoliton molecule and one-order breather. and between asoliton molecule and one-order lump of the KdVSKRequation are analyzed。
报告人简介：任博，教授，博士生导师，主要从事非线性可积系统和超标准模型理论的研究，主持国家自然科学基金2项(青年、面上各1项)，浙江省自然科学基金1项，已在Phys.Rev.D，Phys. Lett. B，Phys. Rev. E，Nonlinea Dyn.,J. High Ener. Phys等SCI收录的杂志发表70余篇学术论文，其中1篇论文入选2012年中国百篇最具影响国际学术论文，1篇论文被国际知名科学/科技新闻杂志《New Scientist》刊登文章报道，1篇论文热点论文，3篇论文高被引论文，2篇论文入选绍兴市自然科学优秀论文一等奖。入选2019年度绍兴市优秀科技工作者先进典型，入选2020年度绍兴市青年科技英才。
