具有分支色散的可积离散耦合非线性Schrödinger方程：离散n倍达布变换及其精确解

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-09-03 DOI:10.1016/j.aml.2025.109744

Tong Zhou, Hai-qiong Zhao

引用次数: 0

摘要

本文引入了一个具有分支色散的可积离散耦合非线性Schrödinger方程（dcNLSBD），并构造了其离散N-fold达布变换（DT）。我们借助DT研究了该方程的几种精确解，并研究了精确解的动力学性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On an integrable discrete coupled nonlinear Schrödinger equation with branched dispersion: Discrete N-fold Darboux transformation and exact solutions

In this letter, we introduced an integrable discrete coupled nonlinear Schrödinger equation with branched dispersion (dcNLSBD) and constructed its discrete

N

-fold Darboux transformation (DT). We studied several types of exact solutions for this equation with the aid of DT and investigated dynamics of the exact solutions.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.