理学院数理讲坛（第二十四讲）
发布时间: 2010-07-19 00:00
理学院数理讲坛（第二十四讲）
报告人：马文秀教授（美国南佛罗里达大学）
题 目：Extended noncommutative Kadomtsev-Petviashvili flows
时 间：2010年7月20日（周二）16:00—17:00
地 点：理科楼北311报告厅
主 办：理学院数学系，非线性科学中心
摘 要： Noncommutative Kadomtsev-Petviashvili (ncKP) flows are introduced by use of squared eigenfunctions in the Moyal-deformed Lax equations. The compatibility equations for the ncKP flows and the extended ncKP flows are presented. The n-reductions and the k-constraints of the compatibility equations yield the ncKP hierarchy with self-consistent sources, the constrained ncKP hierarchy, and the constrained ncKP hierarchy with self-consistent sources. A few illustrative examples are computed, together with their Lax pairs of pseudo-differential operators.
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