{"title":"Construction of conservation laws for the Gardner equation, Landou-Ginburg-Higgss equation, and Hirota-Satsuma equation","authors":"Chengmin Chen, Faiza Afzal, Yufeng Zhang","doi":"10.1088/1572-9494/ad19d6","DOIUrl":null,"url":null,"abstract":"\n In this paper, two different methods for calculating the conservation laws are used, which are the direct construction of conservation laws and the conservation laws proposed by Ibragimov. Using the above two methods, we obtain the conserva tion laws of Gardner equation, Landou-Ginburg-Higgss equation and Hirota-Satsuma equation, respectively.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Theoretical Physics","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.1088/1572-9494/ad19d6","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, two different methods for calculating the conservation laws are used, which are the direct construction of conservation laws and the conservation laws proposed by Ibragimov. Using the above two methods, we obtain the conserva tion laws of Gardner equation, Landou-Ginburg-Higgss equation and Hirota-Satsuma equation, respectively.
期刊介绍:
Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of:
mathematical physics
quantum physics and quantum information
particle physics and quantum field theory
nuclear physics
gravitation theory, astrophysics and cosmology
atomic, molecular, optics (AMO) and plasma physics, chemical physics
statistical physics, soft matter and biophysics
condensed matter theory
others
Certain new interdisciplinary subjects are also incorporated.