利用 IM 扩展 tanh 函数技术求解新扩展 KdV6 方程的多种精确解和孤波解

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2024-06-07 DOI:10.1007/s12043-024-02767-6

Wafaa B Rabie, Hamdy M Ahmed

{"title":"利用 IM 扩展 tanh 函数技术求解新扩展 KdV6 方程的多种精确解和孤波解","authors":"Wafaa B Rabie, Hamdy M Ahmed","doi":"10.1007/s12043-024-02767-6","DOIUrl":null,"url":null,"abstract":"<div><p>We investigated the extended sixth-order Korteweg–de Vries (KdV6) equation which describes many nonlinear phenomena. The improved modified (IM) extended tanh-function method is used to conduct the study. Many exact solutions, like dark, combo singular-dark and singular soliton are achieved. Moreover, hyperbolic solutions, singular periodic solutions, rational solutions, exponential solutions and Jacobi elliptic function (JEF) solutions are derived. Graphical illustrations are presented to visually depict the dynamics of selected solutions.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 3","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Diverse exact and solitary wave solutions to new extended KdV6 equation using IM extended tanh-function technique\",\"authors\":\"Wafaa B Rabie, Hamdy M Ahmed\",\"doi\":\"10.1007/s12043-024-02767-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We investigated the extended sixth-order Korteweg–de Vries (KdV6) equation which describes many nonlinear phenomena. The improved modified (IM) extended tanh-function method is used to conduct the study. Many exact solutions, like dark, combo singular-dark and singular soliton are achieved. Moreover, hyperbolic solutions, singular periodic solutions, rational solutions, exponential solutions and Jacobi elliptic function (JEF) solutions are derived. Graphical illustrations are presented to visually depict the dynamics of selected solutions.</p></div>\",\"PeriodicalId\":743,\"journal\":{\"name\":\"Pramana\",\"volume\":\"98 3\",\"pages\":\"\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2024-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pramana\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12043-024-02767-6\",\"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://link.springer.com/article/10.1007/s12043-024-02767-6","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

我们研究了描述许多非线性现象的扩展六阶 Korteweg-de Vries（KdV6）方程。研究采用了改进的修正（IM）扩展 tanh 函数方法。得到了许多精确解，如暗解、组合奇异-暗解和奇异孤子解。此外，还推导出了双曲解、奇异周期解、有理解、指数解和雅可比椭圆函数（JEF）解。图解直观地描述了选定解的动态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Diverse exact and solitary wave solutions to new extended KdV6 equation using IM extended tanh-function technique

查看原文本刊更多论文

Diverse exact and solitary wave solutions to new extended KdV6 equation using IM extended tanh-function technique

We investigated the extended sixth-order Korteweg–de Vries (KdV6) equation which describes many nonlinear phenomena. The improved modified (IM) extended tanh-function method is used to conduct the study. Many exact solutions, like dark, combo singular-dark and singular soliton are achieved. Moreover, hyperbolic solutions, singular periodic solutions, rational solutions, exponential solutions and Jacobi elliptic function (JEF) solutions are derived. Graphical illustrations are presented to visually depict the dynamics of selected 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

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.