{"title":"Variational method to fractal long-wave model with variable coefficients","authors":"Q. Ma, Ruifu Yuan, Chun Wang","doi":"10.2298/tsci2303779m","DOIUrl":null,"url":null,"abstract":"In this paper, a regularized long wave travelling along an unsmooth boundary is depicted by the fractal calculus, and its fractal variational principle is established via the fractal semi-inverse method, which is very helpful to construct the conservation laws in the fractal space and to study the structure of the analytical solution, and a fractal solitary wave solution is obtained.","PeriodicalId":23125,"journal":{"name":"Thermal Science","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thermal Science","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.2298/tsci2303779m","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"THERMODYNAMICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, a regularized long wave travelling along an unsmooth boundary is depicted by the fractal calculus, and its fractal variational principle is established via the fractal semi-inverse method, which is very helpful to construct the conservation laws in the fractal space and to study the structure of the analytical solution, and a fractal solitary wave solution is obtained.
期刊介绍:
The main aims of Thermal Science
to publish papers giving results of the fundamental and applied research in different, but closely connected fields:
fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes
in single, and specifically in multi-phase and multi-component flows
in high-temperature chemically reacting flows
processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering,
The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.