{"title":"作为自对偶Yang-Mills理论的修正KdV (mKdV)方程的精确解","authors":"V. Christianto","doi":"10.18052/WWW.SCIPRESS.COM/BSMASS.12.1","DOIUrl":null,"url":null,"abstract":"It is known for quite a long time that Self-Dual Yang Mills (SDYM) theory reduce to KortewegDeVries equation, but recently Shehata and Alzaidy have proved that SDYM reduces to modified KdV equation. Therefore, this paper discusses an exact solution of modified KortewegDeVries equation with Mathematica. An implication of the proposed solution is that it is possible to consider hadrons as (a set of) KdV soliton.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"An Exact Solution of modified KdV (mKdV) Equation as a reduction of Self-Dual Yang-Mills theory\",\"authors\":\"V. Christianto\",\"doi\":\"10.18052/WWW.SCIPRESS.COM/BSMASS.12.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is known for quite a long time that Self-Dual Yang Mills (SDYM) theory reduce to KortewegDeVries equation, but recently Shehata and Alzaidy have proved that SDYM reduces to modified KdV equation. Therefore, this paper discusses an exact solution of modified KortewegDeVries equation with Mathematica. An implication of the proposed solution is that it is possible to consider hadrons as (a set of) KdV soliton.\",\"PeriodicalId\":252632,\"journal\":{\"name\":\"Bulletin of Mathematical Sciences and Applications\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of Mathematical Sciences and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.12.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BSMASS.12.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
自对偶杨米尔斯(Self-Dual Yang Mills, SDYM)理论一直被认为可以简化为KortewegDeVries方程,但最近Shehata和Alzaidy证明了SDYM可以简化为修正的KdV方程。因此,本文用Mathematica软件讨论了修正KortewegDeVries方程的精确解。所提出的解决方案的一个含义是,可以将强子视为(一组)KdV孤子。
An Exact Solution of modified KdV (mKdV) Equation as a reduction of Self-Dual Yang-Mills theory
It is known for quite a long time that Self-Dual Yang Mills (SDYM) theory reduce to KortewegDeVries equation, but recently Shehata and Alzaidy have proved that SDYM reduces to modified KdV equation. Therefore, this paper discusses an exact solution of modified KortewegDeVries equation with Mathematica. An implication of the proposed solution is that it is possible to consider hadrons as (a set of) KdV soliton.