| 2个位势的Ablowitz-Ladik等谱方程的Complexiton解 |
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| 引用本文： | 陈守婷,张建兵,李琪.2个位势的Ablowitz-Ladik等谱方程的Complexiton解[J].数学的实践与认识,2020(8):216-223. |
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| 作者姓名： | 陈守婷 张建兵 李琪 |
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| 作者单位： | 徐州工程学院数学与统计学院;江苏师范大学数学与统计学院;东华理工大学数学系 |
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| 基金项目： | 国家自然科学基金(11301454,11561002);江苏省六大人才高峰项目(2016-JY-081)。 |
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| 摘 要： | 借助双Casoratian技巧和构造双Wronski行列式元素的矩阵方法,求出2个位势的Ablowitz-Ladik等谱方程的Complexiton解和周期解,并通过将矩阵取成不同的组合类型,进而分别得到该方程具有双Casorati行列式形式的新解,即Complexiton解与类有理解的混合解、Complexiton解与Matveev解的混合解.
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| 关 键 词： | Ablowitz-Ladik等谱方程 双Casorati行列式 Complexiton解 混合解 |
Complexiton Solutions to the Two-potential Isospectral Ablowitz-Ladik Equation |
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| CHEN Shou-ting,ZHANG Jian-bing,LI Qi.Complexiton Solutions to the Two-potential Isospectral Ablowitz-Ladik Equation[J].Mathematics in Practice and Theory,2020(8):216-223. |
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| Authors: | CHEN Shou-ting ZHANG Jian-bing LI Qi |
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| Institution: | (School of Mathematics and Statistics,Xuzhou Institute of Technology,Xuzhou 221018,China;School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221116,China;Department of Mathematics,East China Institute of Technology,Fuzhou 344000,China) |
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| Abstract: | Complexitons and a periodic solution to the two-potential isospectral AblowitzLadik equation are derived by the double Casoratian technique and a matrix method for constructing double Wronskian entries.Furthermore,the novel solutions in double Casorati determinant form,which between the Complexiton cases and rational-like or Matveev cases,are derived by letting the general matrix be some different mixed cases. |
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| Keywords: | isospectral Ablowitz-Ladik equation double Casorati determinant Complexitons mixed solution |
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