报告人： 冯宝峰教授（Baofeng Feng，Department of Mathematics，University of Texas-Pan American）

　　报告一：

　　报告题目: Focusing complex short pulse equation

　　时间：2015年7月27日（周一）下午：15：00-17：00

　　地点：综合楼三楼会议室

　　摘要：In this talk, we are concerned with a complex short pulse equation of focusing type. We firstly construct the focusing and defocusing complex short pulse equation from the motion of space curve in Euclidean space. Then we construct its multi-soliton solution based on Hirota’s bilinear method and Sato theory. It is very interesting that ,similar to the nonlinear Schrodinger (NLS) equation, the focusing complex short pulse equation admits bright soliton solution.

    报告二：

　　报告题目: Defocusing complex short pulse equation

　　时间：2015年7月28日（周二）下午：15：00-17：00

　　地点：综合楼四楼会议室

　　摘要：In this talk, we are concerned with a complex short pulse equation of defocusing type. It can be shown that the defocusing complex short pulse equation can be constructed from the motion of space curve in Minkowski space, respectively. Then we construct its Hirota’s bilinear method and then its one- two- and N-solton solution. It is shown that the defocusing complex short pulse equation admits the multi-dark soliton solution.

　　报告三：

　　报告题目: A two-component generalization of the reduced Ostrovskyequation

　　时间：2015年7月30日（周四）下午：15：00-17：00

　　地点：综合楼四楼会议室

　　摘要：We proposed a two-component generalization of the reducedOstrovsky equation. We show its integrability by finding its Lax pair. Moreover, under apseudo 3-reduction, we have shown that the two-component reduced Ostrovsky equation canbe reduced from an extended BKP hierarchy through a hodograph transformation. Meanwhile,its bilinear form and N-soliton solution in terms of pfaffians are constructed. One- and two-solitonsolutions are presented。