一种新的多分量环代数和可积层次的可积耦合

2012 Third International Conference on Intelligent Control and Information Processing Pub Date : 2012-07-15 DOI:10.1109/ICICIP.2012.6391457

Xiaohong Chen, Liancheng Zhu

{"title":"一种新的多分量环代数和可积层次的可积耦合","authors":"Xiaohong Chen, Liancheng Zhu","doi":"10.1109/ICICIP.2012.6391457","DOIUrl":null,"url":null,"abstract":"In this paper, a direct method for establishing integrable coupling is proposed by constructing a new multi-component loop algebra. As an application, a new integrable coupling of an integrable hierarchy is obtained. Furthermore, as a reduction of the integrable coupling, an integrable coupling of the well-known general coupled nonlinear Schrödinger equation is also given.","PeriodicalId":376265,"journal":{"name":"2012 Third International Conference on Intelligent Control and Information Processing","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new multi-component loop algebra and an integrable coupling of an integrable hierarchy\",\"authors\":\"Xiaohong Chen, Liancheng Zhu\",\"doi\":\"10.1109/ICICIP.2012.6391457\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a direct method for establishing integrable coupling is proposed by constructing a new multi-component loop algebra. As an application, a new integrable coupling of an integrable hierarchy is obtained. Furthermore, as a reduction of the integrable coupling, an integrable coupling of the well-known general coupled nonlinear Schrödinger equation is also given.\",\"PeriodicalId\":376265,\"journal\":{\"name\":\"2012 Third International Conference on Intelligent Control and Information Processing\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Third International Conference on Intelligent Control and Information Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIP.2012.6391457\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Third International Conference on Intelligent Control and Information Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2012.6391457","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

本文通过构造一个新的多分量环代数，提出了一种建立可积耦合的直接方法。作为应用，得到了一种新的可积层次的可积耦合。此外，作为可积耦合的一种简化形式，给出了众所周知的一般非线性耦合Schrödinger方程的可积耦合。

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

A new multi-component loop algebra and an integrable coupling of an integrable hierarchy

In this paper, a direct method for establishing integrable coupling is proposed by constructing a new multi-component loop algebra. As an application, a new integrable coupling of an integrable hierarchy is obtained. Furthermore, as a reduction of the integrable coupling, an integrable coupling of the well-known general coupled nonlinear Schrödinger equation is also given.

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

2012 Third International Conference on Intelligent Control and Information Processing

自引率

0.00%

发文量