负向4位势Ablowitz-Ladik等谱方程的双Casoratian解（英文）  

Double Casoratian solutions of a negative order four-potential isospectral Ablowitz-Ladik equation

作　　者：陈守婷[1] 李琪[2] 

机构地区：[1]徐州工程学院数学与物理科学学院,江苏徐州221111 [2]东华理工大学数学与信息科学学院,江西南昌330013

出　　处：《江苏师范大学学报（自然科学版）》2013年第4期11-17,共7页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：Research supported by the National Natural Science Foundation of China(11301454,11271168);the Natural Science Foundation for Colleges and Universities in Jiangsu Province(13KJD110009)

摘　　要：借助Wronskian技巧得到负向4位势Ablowitz-Ladik等谱方程的双Casoratian解,并给出了一些双Casorati行列式解的具体表达式.进一步地,通过构造双Casorati行列式元素的矩阵方法推导出该方程的广义双Casoratian解.The double Casoratian solutions of a negative order four-potential isospectral Ablowitz-Ladik equation are obtained through the Wronskian technique. Some solutions in double Casorati determinant Form are presented explic- itly as examples. Furthermore, the generalized double Casoratian solution is found via a matrix method for construc- ting double Casoratian entries.

关 键 词：负向4位势Ablowitz—Ladik等谱方程 WRONSKIAN技巧 双Casorati行列式 

分 类 号：O175.29[理学—数学]