$$(2+1)$$扩展的波蒂-里昂-曼纳-彭皮内利方程的各种解析解的动力学行为

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pramana Pub Date : 2024-08-13 DOI:10.1007/s12043-024-02784-5

Shalini Yadav, Aniruddha Kumar Sharma, Rajan Arora

{"title":"$$(2+1)$$扩展的波蒂-里昂-曼纳-彭皮内利方程的各种解析解的动力学行为","authors":"Shalini Yadav, Aniruddha Kumar Sharma, Rajan Arora","doi":"10.1007/s12043-024-02784-5","DOIUrl":null,"url":null,"abstract":"The study aims at different families of analytical solutions and their dynamics for the (\$2+1\$)-dimensional extended Boiti–Leon–Manna–Pempinelli (eBLMP) problem, which is widely used in the fields of physics such as non-linear optics, fluid dynamics, mathematical physics, plasma physics and quantum mechanics. The paper utilises two recently developed efficient mathematical methods: the generalised exponential rational function (GERF) method and the generalised Kudryashov (gK) method. These two methods are versatile, simply applicable to enlighten the new non-linear waveforms. Consequently, these discoveries enhance our understanding of complex systems like (\$2+1\$)-dimensional eBLMP in the realm of non-linear science.\n","PeriodicalId":743,"journal":{"name":"Pramana","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamical behaviours with various analytic solutions to a $$(2+1)$$ extended Boiti–Leon–Manna–Pempinelli equation\",\"authors\":\"Shalini Yadav, Aniruddha Kumar Sharma, Rajan Arora\",\"doi\":\"10.1007/s12043-024-02784-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The study aims at different families of analytical solutions and their dynamics for the (\\\$2+1\\\$)-dimensional extended Boiti–Leon–Manna–Pempinelli (eBLMP) problem, which is widely used in the fields of physics such as non-linear optics, fluid dynamics, mathematical physics, plasma physics and quantum mechanics. The paper utilises two recently developed efficient mathematical methods: the generalised exponential rational function (GERF) method and the generalised Kudryashov (gK) method. These two methods are versatile, simply applicable to enlighten the new non-linear waveforms. Consequently, these discoveries enhance our understanding of complex systems like (\\\$2+1\\\$)-dimensional eBLMP in the realm of non-linear science.\\n\",\"PeriodicalId\":743,\"journal\":{\"name\":\"Pramana\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2024-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pramana\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://doi.org/10.1007/s12043-024-02784-5\",\"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":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://doi.org/10.1007/s12043-024-02784-5","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

本研究旨在探讨 ($2+1$)-dimensional extended Boiti-Leon-Manna-Pempinelli (eBLMP) 问题的不同分析解系列及其动力学，该问题广泛应用于非线性光学、流体动力学、数学物理、等离子体物理和量子力学等物理学领域。论文利用了最近开发的两种高效数学方法：广义指数有理函数（GERF）方法和广义库德良肖夫（gK）方法。这两种方法用途广泛，简单适用于揭示新的非线性波形。因此，这些发现增强了我们对非线性科学领域中（（2+1））维 eBLMP 等复杂系统的理解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

摘要图片

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Dynamical behaviours with various analytic solutions to a $$(2+1)$$ extended Boiti–Leon–Manna–Pempinelli equation

The study aims at different families of analytical solutions and their dynamics for the ($2+1$)-dimensional extended Boiti–Leon–Manna–Pempinelli (eBLMP) problem, which is widely used in the fields of physics such as non-linear optics, fluid dynamics, mathematical physics, plasma physics and quantum mechanics. The paper utilises two recently developed efficient mathematical methods: the generalised exponential rational function (GERF) method and the generalised Kudryashov (gK) method. These two methods are versatile, simply applicable to enlighten the new non-linear waveforms. Consequently, these discoveries enhance our understanding of complex systems like ($2+1$)-dimensional eBLMP in the realm of non-linear science.

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

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.