负向等谱4位势Ablowitz-Ladik方程的新双Casorati解

doi:10.3969/j.issn.0253-2778.2015.12.006

中国科学技术大学学报 ›› 2015, Vol. 45 ›› Issue (12): 994-1002.DOI: 10.3969/j.issn.0253-2778.2015.12.006

负向等谱4位势Ablowitz-Ladik方程的新双Casorati解

薛益民，陈守婷

徐州工程学院数学与物理科学学院, 江苏徐州 221111

收稿日期:2014-10-21 修回日期:2015-01-18 接受日期:2015-01-18 出版日期:2023-03-27 发布日期:2015-01-18

Novel double Casoratian solutions to a negative order four-potential isospectral Ablowitz-Ladik equation

XUE Yimin, CHEN Shouting

School of Mathematics and Physical Science, Xuzhou Institute of Technology, Xuzhou 221111, China

Received:2014-10-21 Revised:2015-01-18 Accepted:2015-01-18 Online:2023-03-27 Published:2015-01-18
Contact: CHEN Shouting
About author:XUE Yimin, male, born in 1977, master/lecturer. Research field: soliton theory and integrable system.
Supported by:
National Natural Science Foundation of China (11301454, 11271168), the Natural Science Foundation for Colleges and Universities in Jiangsu Province (13KJD110009), the Jiangsu Qing Lan Project for Excellent Young Teachers in University (2014) and XZIT (XKY 2013202).

摘要/Abstract

摘要： 利用构造双Casorati行列式元素的矩阵方法研究了负向等谱4位势Ablowitz-Ladik方程.通过将矩阵取成一些特殊的形式, 导出该方程新的双Casorati解, 即Matveev解和混合解.

关键词: 负向等谱4位势Ablowitz-Ladik方程, 双Casorati行列式, Matveev解, 混合解

Abstract: A matrix method for constructing double Casoratian entries was applied to a negative order four-potential isospectral Ablowitz-Ladik equation. Novel double Casoratian solutions to it were obtained by allowing the general matrix to be some special cases, including Matveev solutions and mixed solutions.

Key words: a negative order four-potential isospectral Ablowitz-Ladik equation, double Casoratian determinant, Matveev solution, mixed solution

中图分类号:

O175.29

薛益民, 陈守婷. 负向等谱4位势Ablowitz-Ladik方程的新双Casorati解[J]. 中国科学技术大学学报, 2015, 45(12): 994-1002.

XUE Yimin, CHEN Shouting. Novel double Casoratian solutions to a negative order four-potential isospectral Ablowitz-Ladik equation[J]. Journal of University of Science and Technology of China, 2015, 45(12): 994-1002.

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负向等谱4位势Ablowitz-Ladik方程的新双Casorati解

Novel double Casoratian solutions to a negative order four-potential isospectral Ablowitz-Ladik equation

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