Asymptotic soliton-like solutions to the Benjamin–Bona–Mahony equation with variable coefficients and a strong singularity

Autor:	V. H. Samoilenko, Yuliia Samoilenko
Rok vydání:	2021
Předmět:	Statistics and Probability Nonlinear Sciences::Exactly Solvable and Integrable Systems Singularity Applied Mathematics General Mathematics Benjamin–Bona–Mahony equation Mathematical analysis Structure (category theory) Soliton WKB approximation Variable (mathematics) Mathematics Term (time)
Zdroj:	Journal of Mathematical Sciences. 258:326-337
ISSN:	1573-8795 1072-3374
Popis:	The paper deals with constructing an asymptotic one-phase soliton-like solution to the Benjamin--Bona--Mahony equation with variable coefficients and a strong singularity making use of the non-linear WKB technique. The influence of the small-parameter value on the structure and the qualitative properties of the asymptotic solution, as well as the accuracy with which the solution satisfies the considerable equation, have been analyzed. It was demonstrated that due to the strong singularity, it is possible to write explicitly not only the main term of the asymptotics but at least its first-order term.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1f813267b7d232bf1cfdb6c99c5e8aa https://doi.org/10.1007/s10958-021-05550-9 Zobrazit plný text záznamu Plný text ve formátu PDF