报告题目:Dynamics of the coupled (2+1)-dimensional Fokas system

报告人：虞国富 教授（上海交通大学）

报告时间：2024.04.21 17:00-18:00

报告地点：子良A444

摘要：We apply Hirota's bilinear method in conjunction with the Kadomtsev-Petviashvili (KP) hierarchy reduction technique  to construct solitons, breathers and lump solutions to the coupled Fokas system. These solutions are expressed in N by N Gram-type determinants. Dynamics of the one- and two- solitons, breathers and lumps are discussed in detail. In addition, we derive three types of breather solutions by different choices of parameters, including Akhmediev breather, Kuznetsov-Ma breather and general one along some oblique line. By introducing two judicious  differential operators in the dimension reduction procedure, we obtain rational solutions in terms of Schur polynomials.   Finally, we propose a muti-component Fokas system and give  multi-soliton, multi-breather and lump solution to the multi-component system.

报告人介绍：虞国富，上海交通大学数学科学学院教授、博士生导师。2007年博士毕业于中国科学院数学与系统科学研究院，加拿大蒙特利尔大学博士后，香港科技大学访问学者。主要从事可积系统、随机矩阵、正交多项式、特殊函数等方面的研究。在数学物理领域知名学术刊物Adv.Math.,  Ann. Henri Poincaré，Nonlinearity, JNS等发表SCI论文60余篇。主持国家自然科学基金、上海市晨光计划、上海交通大学晨星青年学者奖励计划等多项研究课题。

邀请人：沈守枫