Localized wave solutions on periodic background and magnetization reversal phenomenon for the (2+1)-dimensional Heisenberg ferromagnet spin equation
数学专题报告
报告题目(Title)：Localized wave solutions on periodic background and magnetization reversal phenomenon for the (2+1)-dimensional Heisenberg ferromagnet spin equation
报告人(Speaker)：闻小永教授（北京信息科技大学）
地点(Place)：后主楼1223
时间(Time)：6月20日(周四)，11:00-12:00
邀请人(Inviter)：臧立名、王灯山
报告摘要
Heisenberg ferromagnet (HF) spin equation can describe the magnetization motion and the magnetic dynamics of ferromagnetic material. In this talk, we investigate the (2+1)-dimensional Heisenberg ferromagnet spin equation. Based on its known Lax pair, we construct the iterative generalized (𝑟, 𝑁−𝑟)-fold Darboux transformation (DT) to give abundant localized wave solutions on periodic background for this (2 + 1)- dimensional HF equation. In particular, along with the increase of 𝑁 in the DT, we find the reversal phenomenon of the lump and periodic wave structures with respect to the background. Moreover, we also study the magnetization trajectory and magnetization on the Bloch sphere of different kinds of localized waves.
主讲人简介
闻小永，北京信息科技大学教授，硕士生导师，山东科技大学兼职博士生导师，入选2017年北京信息科技大学“勤信拔尖人才”。主要从事可积系统理论及应用和计算机符号计算与非线性波动力学方面的研究，在Phys. Rev. E, Chaos, J. Math. Phys., Proc. Roy. Soc. A等国内外重要数学物理学术期刊上发表SCI论文100余篇。主持国家自然科学基金面上项目1项和北京自然科学基金项目2项，作为主要参与人参与完成多项国家和北京自然科学基金项目。
