关于带有积分型源的微分-差分正弦-戈登方程

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

B. Babajanov, Michal Fečkan, Aygul Babadjanova

{"title":"关于带有积分型源的微分-差分正弦-戈登方程","authors":"B. Babajanov, Michal Fečkan, Aygul Babadjanova","doi":"10.1515/ms-2023-0108","DOIUrl":null,"url":null,"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.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Differential-Difference Sine-Gordon Equation with an Integral Type Source\",\"authors\":\"B. Babajanov, Michal Fečkan, Aygul Babadjanova\",\"doi\":\"10.1515/ms-2023-0108\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/ms-2023-0108\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/ms-2023-0108","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

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。

查看原文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助