4位势Ablowitz-Ladik等谱方程的新混合解（英文）  

New mixed solutions to the four-potential isospectral Ablowitz-Ladik equation

作　　者：张逸燕 陈守婷[1] Zhang Yiyan;Chen Shouting(School of Mathematics & Physical Science,Xuzhou Institute of Technology,Xuzhou 221008,Jiangsu,China)

机构地区：[1]徐州工程学院数学与物理科学学院

出　　处：《江苏师范大学学报（自然科学版）》2019年第2期49-53,共5页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：Research supported by the National Natural Science Foundation of China(11301454);the Jiangsu Qing Lan Project for Excellent Young Teachers in University(2014);Six Talent Peaks Project in Jiangsu Province(2016-JY-081)

摘　　要：主要研究4位势Ablowitz-Ladik等谱方程.借助双Casoratian技巧,对广义双Casoratian解选取一些特殊的形式,构造出该方程的类有理型和complexiton型的混合解.另外,求得Matveev型和complexiton型的混合解.In this paper,the four-potential isospectral Ablowitz-Ladik equation is mainly discussed.By virtue of the double Casoratian technique and taking special cases in a general double Casoratian solution,the mixed solutions between the rational-like and complexiton cases in double Casoratian form are constructed.Moreover,the mixed solutions between the Matveev and complexiton cases are derived.

关 键 词：4位势Ablowitz-Ladik等谱方程 双Casoratian技巧 混合解 

分 类 号：O175.29[理学—数学]