{"title":"Lump and interaction solutions to a (3+1)-dimensional BKP-Boussinesq-like equation","authors":"Xiyan Yang, Liangping Tang, Xinyi Gu, Wenxia Chen, Lixin Tian","doi":"10.1016/j.jmaa.2024.129030","DOIUrl":null,"url":null,"abstract":"<div><div>This paper analyzes the (3+1)-dimensional BKP-Boussinesq-like equation, which is widely used to describe and understand nonlinear wave phenomena. We extend Hirota's bilinear method and obtain the generalized bilinear operator. When the prime number <span><math><mi>p</mi><mo>=</mo><mn>3</mn></math></span>, the generalized bilinear form of BKP-Boussinesq-like equation is constructed. Based on its bilinear expression, we explore the lump and lump-soliton solutions to the equation, and analyze the dynamic characteristics and properties of soliton solutions with plots.</div></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X24009521","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper analyzes the (3+1)-dimensional BKP-Boussinesq-like equation, which is widely used to describe and understand nonlinear wave phenomena. We extend Hirota's bilinear method and obtain the generalized bilinear operator. When the prime number , the generalized bilinear form of BKP-Boussinesq-like equation is constructed. Based on its bilinear expression, we explore the lump and lump-soliton solutions to the equation, and analyze the dynamic characteristics and properties of soliton solutions with plots.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.