{"title":"(2+1)维非线性Schrödinger方程的对称性和推进解","authors":"Ruan Hang-yu, Chen Yi-xin","doi":"10.1088/1004-423X/8/4/001","DOIUrl":null,"url":null,"abstract":"The Painleve property, infinitely many symmetries and exact solutions of a (2+1)-dimensional nonlinear Schrodinger equation, which are obtained from the constraints of the Kadomtsev-Petviashvili equation, are studied in this paper. The Painleve property is proved by the Weiss-Kruskal approach, the infinitely many symmetries are obtained by the formal series symmetry method and the dromion-like solution which is localized exponentially in all directions is obtained by a variable separation method.","PeriodicalId":188146,"journal":{"name":"Acta Physica Sinica (overseas Edition)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Symmetries and dromion solution of a (2+1)-dimensional nonlinear Schrödinger equation\",\"authors\":\"Ruan Hang-yu, Chen Yi-xin\",\"doi\":\"10.1088/1004-423X/8/4/001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Painleve property, infinitely many symmetries and exact solutions of a (2+1)-dimensional nonlinear Schrodinger equation, which are obtained from the constraints of the Kadomtsev-Petviashvili equation, are studied in this paper. The Painleve property is proved by the Weiss-Kruskal approach, the infinitely many symmetries are obtained by the formal series symmetry method and the dromion-like solution which is localized exponentially in all directions is obtained by a variable separation method.\",\"PeriodicalId\":188146,\"journal\":{\"name\":\"Acta Physica Sinica (overseas Edition)\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Physica Sinica (overseas Edition)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/1004-423X/8/4/001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Sinica (overseas Edition)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1004-423X/8/4/001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Symmetries and dromion solution of a (2+1)-dimensional nonlinear Schrödinger equation
The Painleve property, infinitely many symmetries and exact solutions of a (2+1)-dimensional nonlinear Schrodinger equation, which are obtained from the constraints of the Kadomtsev-Petviashvili equation, are studied in this paper. The Painleve property is proved by the Weiss-Kruskal approach, the infinitely many symmetries are obtained by the formal series symmetry method and the dromion-like solution which is localized exponentially in all directions is obtained by a variable separation method.
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