时间分数广义耗散Kawahara方程的显式解

IF 13 1区工程技术 Q1 ENGINEERING, MARINE

Journal of Ocean Engineering and Science Pub Date : 2024-08-01 DOI:10.1016/j.joes.2022.02.013

{"title":"时间分数广义耗散Kawahara方程的显式解","authors":"","doi":"10.1016/j.joes.2022.02.013","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, the generalized dissipative Kawahara equation in the sense of conformable fractional derivative is presented and solved by applying the tanh-coth-expansion and sine-cosine function techniques. The quadratic-case and cubic-case are investigated for the proposed model. Expected solutions are obtained with highlighting to the effect of the presence of the alternative fractional-derivative and the effect of the added dissipation term to the generalized Kawahara equation. Some graphical analysis is presented to support the findings of the paper. Finally, we believe that the obtained results in this work will be important and valuable in nonlinear sciences and ocean engineering.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"9 4","pages":"Pages 348-352"},"PeriodicalIF":13.0000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013322000468/pdfft?md5=4012f95aa61753ee5ae18346bcb0a023&pid=1-s2.0-S2468013322000468-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Explicit solutions to the time-fractional generalized dissipative Kawahara equation\",\"authors\":\"\",\"doi\":\"10.1016/j.joes.2022.02.013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, the generalized dissipative Kawahara equation in the sense of conformable fractional derivative is presented and solved by applying the tanh-coth-expansion and sine-cosine function techniques. The quadratic-case and cubic-case are investigated for the proposed model. Expected solutions are obtained with highlighting to the effect of the presence of the alternative fractional-derivative and the effect of the added dissipation term to the generalized Kawahara equation. Some graphical analysis is presented to support the findings of the paper. Finally, we believe that the obtained results in this work will be important and valuable in nonlinear sciences and ocean engineering.</p></div>\",\"PeriodicalId\":48514,\"journal\":{\"name\":\"Journal of Ocean Engineering and Science\",\"volume\":\"9 4\",\"pages\":\"Pages 348-352\"},\"PeriodicalIF\":13.0000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2468013322000468/pdfft?md5=4012f95aa61753ee5ae18346bcb0a023&pid=1-s2.0-S2468013322000468-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Ocean Engineering and Science\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2468013322000468\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MARINE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Ocean Engineering and Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2468013322000468","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MARINE","Score":null,"Total":0}

引用次数: 0

摘要

本文提出了符合分式导数意义上的广义耗散川原方程，并应用 tanh-coth-expansion 和正弦余弦函数技术进行了求解。对所提出模型的二次方和三次方情况进行了研究。得到的预期解突出了替代分式-衍生物存在的影响和广义川原方程添加耗散项的影响。本文还给出了一些图形分析，以支持本文的研究结果。最后，我们相信这项工作所取得的成果将对非线性科学和海洋工程具有重要价值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Explicit solutions to the time-fractional generalized dissipative Kawahara equation

In this paper, the generalized dissipative Kawahara equation in the sense of conformable fractional derivative is presented and solved by applying the tanh-coth-expansion and sine-cosine function techniques. The quadratic-case and cubic-case are investigated for the proposed model. Expected solutions are obtained with highlighting to the effect of the presence of the alternative fractional-derivative and the effect of the added dissipation term to the generalized Kawahara equation. Some graphical analysis is presented to support the findings of the paper. Finally, we believe that the obtained results in this work will be important and valuable in nonlinear sciences and ocean engineering.

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

Journal of Ocean Engineering and Science Multiple-

CiteScore

11.50

自引率

19.70%

发文量

224

审稿时长

29 days

期刊介绍： The Journal of Ocean Engineering and Science (JOES) serves as a platform for disseminating original research and advancements in the realm of ocean engineering and science. JOES encourages the submission of papers covering various aspects of ocean engineering and science.