报告题目 (Title)：Decompositions and linear superpositions of B-type Kadomtsev-Petviashvili equations（ ）

报告人 (Speaker)： 楼森岳 教授（宁波大学）

报告时间 (Time)：2022年07月18日(周一) 15:00-16:30

报告地点 (Place)：腾讯会议  （ID：438-281-660）

邀请人(Inviter)：张大军

主办部门：理学院数学系

报告摘要：The existence of decomposition solutions of the well-known nonlinear BKP hierarchy is explored. It is shown that these decompositions provide simple and interesting relationships between classical integrable systems and the BKP hierarchy. Further, some special decomposition solutions display a rare property: they can be linearly superposed. With the emphasis on the case of the fifth BKP equation, the structure characteristic having linear superposition solutions is analyzed. Finally, we obtain similar superposed solutions in the dispersionless BKP hierarchy.