N-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation

被引：93

作者：

Zhao, Xiao-Juan ^{[1
]}

Guo, Rui ^{[1
]}

Hao, Hui-Qin ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Shanxi, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 75卷

基金：

中国国家自然科学基金; 山西省青年科学基金;

关键词：

A discrete Hirota equation; N-fold Darboux transformation; Explicit discrete solutions; NONLINEAR SCHRODINGER-EQUATION; LATTICE;

D O I：

10.1016/j.aml.2017.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a discrete Hirota equation is analytically investigated. The N-fold Darboux transformation (DT) is constructed based on the Lax pair for the equation. In addition, the discrete N-soliton solutions under the vanishing background are derived. Especially, the dynamic features of one-soliton and two-soliton solutions are displayed through figures. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：114 / 120

页数：7

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