{"title":"Integration of the Loaded KdV Equation with a Self-Consistent Source of Integral Type in the Class of Rapidly Decreasing Complex-Valued Functions","authors":"U. A. Hoitmetov","doi":"10.1134/s1055134422020043","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We apply the inverse scattering method to integrating the loaded Korteweg–de Vries\nequation with a self-consistent source of integral type in the class of rapidly decreasing\ncomplex-valued functions.\n</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"64 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Advances in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1055134422020043","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We apply the inverse scattering method to integrating the loaded Korteweg–de Vries
equation with a self-consistent source of integral type in the class of rapidly decreasing
complex-valued functions.
期刊介绍:
Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.