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负向4位势Ablowitz-Ladik等谱方程的双Casoratian解（英文） 被引量：1

Double Casoratian solutions of a negative order four-potential isospectral Ablowitz-Ladik equation
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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.
作者 陈守婷 李琪
机构地区 徐州工程学院数学与物理科学学院 东华理工大学数学与信息科学学院
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)
关键词 负向4位势Ablowitz—Ladik等谱方程 WRONSKIAN技巧 双Casorati行列式 negative order four-potential isospectral Ablowitz-Ladik equation Wronskian technique double Casoratideterminant
分类号 O175.29 [理学—数学]
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参考文献23

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同被引文献18

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江苏师范大学学报（自然科学版）
2013年 第4期

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