{"title":"构建加德纳方程、朗杜-金伯格-希格斯方程和广田-萨摩方程的守恒定律","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":71015,"journal":{"name":"","volume":"139 27","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":71015,\"journal\":{\"name\":\"\",\"volume\":\"139 27\",\"pages\":\"\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.1088/1572-9494/ad19d6\",\"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":"1089","ListUrlMain":"https://doi.org/10.1088/1572-9494/ad19d6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Construction of conservation laws for the Gardner equation, Landou-Ginburg-Higgss equation, and Hirota-Satsuma equation
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.