Dynamics of discrete soliton propagation and elastic interaction in a higher-order coupled Ablowitz-Ladik equation

被引：20
|
作者：
Wang, Hao-Tian [1 ]
Wen, Xiao-Yong [1 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 100卷
关键词：
Higher-order coupled Ablowitz-Ladik equation; N-fold Darboux transformation; Multi-soliton solutions; Asymptotic analysis; FOLD DARBOUX TRANSFORMATION; ROGUE WAVE SOLUTIONS; INSTABILITY;
D O I：
10.1016/j.aml.2019.106013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under investigation is a higher-order coupled Ablowitz-Ladik equation whose integrability is established in the sense of Lax pair. With symbolic computation, the N-fold Darboux transformation is used to construct discrete multi-soliton solutions in the determinant form. Soliton propagation and elastic interaction features are investigated through asymptotic analysis and analyzing some important physical quantities. Numerical simulations are used to explore the dynamical stability of one- and two-soliton solutions. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：8
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