（1+1）维微分差分方程的对称约简新方法

IF 6.5 2区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Frontiers of Physics Pub Date : 2023-07-03 DOI:10.3389/fphy.2023.1237805

Jielin Lyu, Kaizhong Shi, Bo Ren, Yongyang Jin

{"title":"（1+1）维微分差分方程的对称约简新方法","authors":"Jielin Lyu, Kaizhong Shi, Bo Ren, Yongyang Jin","doi":"10.3389/fphy.2023.1237805","DOIUrl":null,"url":null,"abstract":"We propose a new symmetry reduction method for (1+1)-dimensional differential-difference equations (DDEs), namely, the λ-symmetry reduction method of solving ordinary differential equations is generalized to DDEs. Order-reduction processes are a consequence of the invariance of the given DDE under vector fields of the new class. These vector fields satisfy a new prolongation formula. A simple example of order-reduction is provided to illustrate the application.","PeriodicalId":573,"journal":{"name":"Frontiers of Physics","volume":" ","pages":""},"PeriodicalIF":6.5000,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New symmetry reduction method for (1+1)-dimensional differential-difference equations\",\"authors\":\"Jielin Lyu, Kaizhong Shi, Bo Ren, Yongyang Jin\",\"doi\":\"10.3389/fphy.2023.1237805\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose a new symmetry reduction method for (1+1)-dimensional differential-difference equations (DDEs), namely, the λ-symmetry reduction method of solving ordinary differential equations is generalized to DDEs. Order-reduction processes are a consequence of the invariance of the given DDE under vector fields of the new class. These vector fields satisfy a new prolongation formula. A simple example of order-reduction is provided to illustrate the application.\",\"PeriodicalId\":573,\"journal\":{\"name\":\"Frontiers of Physics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":6.5000,\"publicationDate\":\"2023-07-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Frontiers of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.3389/fphy.2023.1237805\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Frontiers of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.3389/fphy.2023.1237805","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

提出了求解(1+1)维差分方程的一种新的对称约简方法，即将求解常微分方程的λ对称约简方法推广到差分方程。降阶过程是给定DDE在新类的向量场下的不变性的结果。这些向量场满足一个新的推广公式。提供了一个简单的订单缩减示例来说明该应用程序。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

New symmetry reduction method for (1+1)-dimensional differential-difference equations

We propose a new symmetry reduction method for (1+1)-dimensional differential-difference equations (DDEs), namely, the λ-symmetry reduction method of solving ordinary differential equations is generalized to DDEs. Order-reduction processes are a consequence of the invariance of the given DDE under vector fields of the new class. These vector fields satisfy a new prolongation formula. A simple example of order-reduction is provided to illustrate the application.

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

来源期刊

Frontiers of Physics PHYSICS, MULTIDISCIPLINARY-

CiteScore

9.20

自引率

9.30%

发文量

898

审稿时长

6-12 weeks

期刊介绍： Frontiers of Physics is an international peer-reviewed journal dedicated to showcasing the latest advancements and significant progress in various research areas within the field of physics. The journal's scope is broad, covering a range of topics that include: Quantum computation and quantum information Atomic, molecular, and optical physics Condensed matter physics, material sciences, and interdisciplinary research Particle, nuclear physics, astrophysics, and cosmology The journal's mission is to highlight frontier achievements, hot topics, and cross-disciplinary points in physics, facilitating communication and idea exchange among physicists both in China and internationally. It serves as a platform for researchers to share their findings and insights, fostering collaboration and innovation across different areas of physics.