B-型KP方程的剖析与叠加

2022.07.21

投稿:龚惠英部分:理学院浏览次数:

活动信息

时间: 2022年07月18日 15:00

所在: 腾讯聚会

报告问题 (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

报告所在 (Place):腾讯聚会  (ID:438-281-660)

约请人(Inviter):张雄师

主理部分: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.

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