多参数拟有理解下Hirota方程的异常波

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-03-07 DOI:10.37394/23206.2023.22.24

P. Gaillard

{"title":"多参数拟有理解下Hirota方程的异常波","authors":"P. Gaillard","doi":"10.37394/23206.2023.22.24","DOIUrl":null,"url":null,"abstract":"Quasi-rational solutions to the Hirota equation are given. We con- struct explicit expressions of these solutions for the first orders. As a byproduct, we get quasi-rational solutions to the focusing NLS equation and also rational solutions to the mKdV equation. We study the patterns of these configurations in the (x, t) plane.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rogue Waves of the Hirota Equation in Terms of Quasi-rational Solutions Depending on Multi-parameters\",\"authors\":\"P. Gaillard\",\"doi\":\"10.37394/23206.2023.22.24\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Quasi-rational solutions to the Hirota equation are given. We con- struct explicit expressions of these solutions for the first orders. As a byproduct, we get quasi-rational solutions to the focusing NLS equation and also rational solutions to the mKdV equation. We study the patterns of these configurations in the (x, t) plane.\",\"PeriodicalId\":55878,\"journal\":{\"name\":\"WSEAS Transactions on Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS Transactions on Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/23206.2023.22.24\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23206.2023.22.24","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

给出了Hirota方程的拟有理解。我们构造了这些一阶解的显式表达式。作为副产品，我们得到了聚焦NLS方程的拟有理解，以及mKdV方程的有理解。我们研究了这些构型在（x，t）平面上的模式。

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

Rogue Waves of the Hirota Equation in Terms of Quasi-rational Solutions Depending on Multi-parameters

Quasi-rational solutions to the Hirota equation are given. We con- struct explicit expressions of these solutions for the first orders. As a byproduct, we get quasi-rational solutions to the focusing NLS equation and also rational solutions to the mKdV equation. We study the patterns of these configurations in the (x, t) plane.

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

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.