Integrals of motion of the Korteweg–de Vries equation in a class of steplike solutions

TitleIntegrals of motion of the Korteweg–de Vries equation in a class of steplike solutions
Publication TypeJournal Article
Year of Publication2016
AuthorsAndreiev, KM
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2016.09.007
Issue9
SectionMathematics
Pagination7-13
Date Published9/2016
LanguageRussian
Abstract

We study the Cauchy problem for the Korteweg–de Vries with steplike initial data. The regilarized integrals of motion are constructed and expressed via associated scattering data of the Schrödinger equation.
Keywordsintegrals of motion, Korteweg–de Vries equation, scattering data
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