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

doi:10.3969/j.issn.0253-2778.2015.12.006

Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (12): 994-1002.DOI: 10.3969/j.issn.0253-2778.2015.12.006

• Research Articles:Mathematics • Previous Articles Next Articles

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).

Abstract

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

CLC Number:

O175.29

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

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