2个位势的Ablowitz-Ladik等谱方程的Complexiton解  

Complexiton Solutions to the Two-potential Isospectral Ablowitz-Ladik Equation

作　　者：陈守婷 张建兵 李琪[3] CHEN Shou-ting;ZHANG Jian-bing;LI Qi(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)

机构地区：[1]徐州工程学院数学与统计学院,江苏徐州221018 [2]江苏师范大学数学与统计学院,江苏徐州221116 [3]东华理工大学数学系,江西抚州344000

出　　处：《数学的实践与认识》2020年第8期216-223,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11301454,11561002);江苏省六大人才高峰项目(2016-JY-081)。

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.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.

关 键 词：Ablowitz-Ladik等谱方程 双Casorati行列式 Complexiton解 混合解 

分 类 号：O175[理学—数学]