(3+1)维可积Calogero-Bogoyavlenskii-Schiff方程及其逆算子:块解和多孤子解

IF 2.1 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Romanian Reports in Physics Pub Date : 2023-09-15 DOI:10.59277/romrepphys.2023.75.116
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":"25 1","pages":"0"},"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\":\"25 1\",\"pages\":\"0\"},\"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}
引用次数: 0

摘要

“在这项工作中,我们建立了一个(3+1)维可积方程。我们首先通过结合Calogero-Bogoyavlenskii-Schiff方程的递归算子和它的逆递归算子来重新表述我们模型的主方程。通过证明该方程满足painleve性质,证明了该方程的完全可积性。我们得到了在特定约束条件下得到的各种块解。此外,我们使用简化的Hirota的直接方法找到了新进化方程的多孤子解。此外,还采用了其他技术来求解新的演化方程,以便得到一些物理上相关的解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
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."
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Romanian Reports in Physics
Romanian Reports in Physics 物理-物理:综合
CiteScore
4.20
自引率
29.60%
发文量
0
审稿时长
4-8 weeks
期刊介绍: Romanian Reports in Physics is a journal publishing physics contributions in the fields of: 1. Mathematical and General Physics 2. Nuclear Physics. Particle Physics. Astroparticle Physics 3. Atomic and Molecular Physics 4. Plasma Physics 5. Condensed Matter 6. Optics & Quantum Electronics 7. Biophysics & Medical Physics. Environmental Physics 8. Physical Methods and Instrumentation 9. Earth Physics
期刊最新文献
Investigation of the magnetic field created by axially symmetric permanent magnet arrangements Indoor air quality monitoring in educational environments: a case study Painlevé integrability for an extended (3 + 1)-dimensional Bogoyavlensky-Konopelchenko equation: lumps and multiple soliton solutions Computational characterization of coaxial HPGe detectors using Monte Carlo simulation and nonlinear least squares optimization Lump and multiple soliton solutions to the new integrable (3+1)-dimensional Boussinesq equation
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1