报告地点：行健楼学术活动室526
邀请人：张英楠副教授、黄益副教授
摘要：In this talk, we will give a classification of the regular soliton solutions of the KP hierarchy, referred to as the KP solitons, under the Gel'fand-Dickey reductions in terms of the permutation of the symmetric group. As an example, we show that the regular soliton solutions of the (good) Boussinesq equation as the 3-reduction can have at most one resonant soliton in addition to two sets of solitons propagating in opposite directions. In particular, we show that the non-crossing permutation gives the regularity condition for the soliton solutions. Meanwhile the classification on singular soliton solutions of the Boussinesq equation is also interesting. This is a joint work with my PhD student Shilong Huang and Professor Yuji Kodama.
报告人简介:李传忠，山东科技大学教授、博士生导师、山东省泰山学者。博士毕业于中国科学技术大学数学学院，美国俄亥俄州立大学联合培养博士。现担任中国高等教育学会教育数学专业委员会理事，山东省大数据研究会理事。主要从事数学物理方向的研究工作，曾入选宁波市领军和拔尖人才培养工程。主持国家自然科学基金面上项目2项和青年基金项目1项。以第一作者或唯一通讯作者身份在Commun. Math. Phys., J. Alg. Comb., J Nonl. Sci., Phys. Lett. B, Nuc. Phys. B, Lett. Math. Phys., Stud. Appl. Math., Phys. D, Phys. Rev. E, J. Phys. A, J. Math. Phys, J. Geom. Phys.等期刊发表SCI论文120篇。
