On the Differential-Difference Sine-Gordon Equation with an Integral Type Source

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2023-12-01 DOI:10.1515/ms-2023-0108

B. Babajanov, Michal Fečkan, Aygul Babadjanova

引用次数: 0

Abstract

ABSTRACT In this work, we study the integration of the differential-difference sine-Gordon equation with an integral type source. We deduce the time performance of the scattering data of the spectral problem which is associated with the discrete sine-Gordon equation. Using the inverse scattering method, we integrate the Cauchy problem for the differential-difference sine-Gordon equation with the integral type source in the class of the rapidly decreasing functions.

查看原文本刊更多论文

关于带有积分型源的微分-差分正弦-戈登方程

摘要在这项工作中，我们研究了带有积分型源的微分-差分正弦-戈登方程的积分问题。我们推导了与离散正弦-戈登方程相关的谱问题的散射数据的时间性能。利用反散射方法，我们对微分-差分正弦-戈登方程的 Cauchy 问题进行了积分型源的快速递减函数类积分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.