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BKP方程族的Pfaffian解 被引量:3

ON THE PFAFFIAN SOLUTIONS OF THE BKP HIERARCHY
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摘要 本文从约化的角度考虑BKP方程族的Pfaffian形式的解.证明了通过施加适当的微分约束,KP方程族的格拉姆行列式的解很自然的约化为BKP方程族的解. The PfafRan solutions of the BKP hierarchy is considered from the reduction viewpoint. It is shown that, by imposing proper differential constraint, the Grammian determinant type solutions of the KP hierarchy are naturally led to the PfafRan solutions of the BKP hierarchy.
出处 《数学年刊(A辑)》 CSCD 北大核心 2002年第6期693-698,共6页 Chinese Annals of Mathematics
基金 教育部优秀年轻教师基金 国家自然科学基金(No.19971094)资助的项目
关键词 孤立子 达布变换 KP方程族 BKP方程族 Pfaffian解 BKP hierarchy, KP hierarchy, Pfaffian solutions, Darboux transformations, Soliton
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