Hirota-Satsuma方程的Pfaffian化  

Pfaffianization of the Hirota-Satsuma Equations

作　　者：郭婷婷[1] 

机构地区：[1]山西大学商务学院,山西太原030031

出　　处：《太原师范学院学报（自然科学版）》2011年第4期43-45,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：Pfaffian是行列式的推广,有着比行列式更加广泛的性质.文章将Pfaffian化技巧应用到Hirota-Satsuma方程上,构造出相应的Wronskian型Pfaffian解,此时双线性型Hirota-Sat-suma方程将约化为Pfaffian恒等式,并导出相应的耦合系统.A Pfaffian is obtained from a determinant,the properties of which are less than those of a Pfaffian.The pfaffianization procedure is applied to the Hirota-Satsuma equations,and Wronski-type Pfaffian solutions are presented.At the same time,we can change the bilinear Hirota-Satsuma equations into Pfaffian idendities.As a result,a bilinear coupled system is found.

关 键 词：HIROTA-SATSUMA方程 PFAFFIAN HIROTA方法 耦合系统 

分 类 号：O129.3[理学—数学]