ABDUL-MAJID WAZWAZ, RANIA A. ALHARBEY, S. A. EL-TANTAWY
{"title":"(3+1)维可积Calogero-Bogoyavlenskii-Schiff方程及其逆算子:块解和多孤子解","authors":"ABDUL-MAJID WAZWAZ, RANIA A. ALHARBEY, S. A. EL-TANTAWY","doi":"10.59277/romrepphys.2023.75.116","DOIUrl":null,"url":null,"abstract":"\"In this work, we built a (3+1)-dimensional integrable equation. We started by reformulating the main equation of our model by combining the recursion operator of the Calogero-Bogoyavlenskii-Schiff equation with its inverse recursion op- erator. We confirm the complete integrability of our new developed equation by demon- strating that it satisfies the Painlev´e property. We get a variety of lump solutions that are obtained under specific constraints. Furthermore, we used the simplified Hirota’s direct approach to find multiple soliton solutions to the new evolution equation. In ad- dition, other techniques are used to solve the new evolution equation, in order to get some physically relevant solutions.\"","PeriodicalId":49588,"journal":{"name":"Romanian Reports in Physics","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A (3+1)-dimensional integrable Calogero-Bogoyavlenskii-Schiff equation and its inverse operator: lump solutions and multiple soliton solutions\",\"authors\":\"ABDUL-MAJID WAZWAZ, RANIA A. ALHARBEY, S. A. EL-TANTAWY\",\"doi\":\"10.59277/romrepphys.2023.75.116\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\\"In this work, we built a (3+1)-dimensional integrable equation. We started by reformulating the main equation of our model by combining the recursion operator of the Calogero-Bogoyavlenskii-Schiff equation with its inverse recursion op- erator. We confirm the complete integrability of our new developed equation by demon- strating that it satisfies the Painlev´e property. We get a variety of lump solutions that are obtained under specific constraints. Furthermore, we used the simplified Hirota’s direct approach to find multiple soliton solutions to the new evolution equation. In ad- dition, other techniques are used to solve the new evolution equation, in order to get some physically relevant solutions.\\\"\",\"PeriodicalId\":49588,\"journal\":{\"name\":\"Romanian Reports in Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2023-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Romanian Reports in Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.59277/romrepphys.2023.75.116\",\"RegionNum\":4,\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Romanian Reports in Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.59277/romrepphys.2023.75.116","RegionNum":4,"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}
A (3+1)-dimensional integrable Calogero-Bogoyavlenskii-Schiff equation and its inverse operator: lump solutions and multiple soliton solutions
"In this work, we built a (3+1)-dimensional integrable equation. We started by reformulating the main equation of our model by combining the recursion operator of the Calogero-Bogoyavlenskii-Schiff equation with its inverse recursion op- erator. We confirm the complete integrability of our new developed equation by demon- strating that it satisfies the Painlev´e property. We get a variety of lump solutions that are obtained under specific constraints. Furthermore, we used the simplified Hirota’s direct approach to find multiple soliton solutions to the new evolution equation. In ad- dition, other techniques are used to solve the new evolution equation, in order to get some physically relevant solutions."