Zobrazeno 1 - 10
of 24
pro vyhledávání: '"V. H. Samoilenko"'
Autor:
V. H. Samoilenko, Yuliia Samoilenko
Publikováno v:
Journal of Mathematical Sciences. 258:326-337
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-paramete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1f813267b7d232bf1cfdb6c99c5e8aa
https://doi.org/10.1007/s10958-021-05550-9
https://doi.org/10.1007/s10958-021-05550-9
Publikováno v:
Mathematical Modeling and Computing. 8:368-378
The paper deals with the Korteweg-de Vries equation with variable coefficients and a small parameter at the highest derivative. The non-linear WKB technique has been used to construct the asymptotic step-like solution to the equation. Such a solution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::246b6b6499eb82a492be3b3d2192104a
https://doi.org/10.23939/mmc2021.03.368
https://doi.org/10.23939/mmc2021.03.368
Publikováno v:
Mathematical Modeling and Computing. 8:410-421
The paper deals with the Korteweg-de Vries equation with variable coefficients and a small parameter at the highest derivative. The asymptotic step-like solution to the equation is obtained by the non-linear WKB technique. An algorithm of constructin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1522b7328962def8458aa9b48a2e6a8c
https://doi.org/10.23939/mmc2021.03.410
https://doi.org/10.23939/mmc2021.03.410
Publikováno v:
Cybernetics and Systems Analysis. 56:934-942
The Korteweg–de Vries equation with variable coefficients and a small parameter of the first level at the higher-order derivative is considered. The concept of a stepwise asymptotic solution is introduced. On the basis of the nonlinear WKB method,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9dc12b1d19caf46c56d51500ddbd7875
https://doi.org/10.1007/s10559-020-00313-x
https://doi.org/10.1007/s10559-020-00313-x
Autor:
V. H. Samoilenko, Yuliia Samoilenko
Publikováno v:
Zurnal matematiceskoj fiziki, analiza, geometrii. 16:454-459
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28010261fce593320be8094eb0d8b31e
https://doi.org/10.15407/mag16.04.454
https://doi.org/10.15407/mag16.04.454
Publikováno v:
Mathematical Modeling and Computing. 6:374-385
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38ce5626145826d1461c5f9a038a1f40
https://doi.org/10.23939/mmc2019.02.374
https://doi.org/10.23939/mmc2019.02.374
Publikováno v:
European Journal of Mathematics. 6:1-3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4711429e285bc9e99fb13b011ddfed21
https://doi.org/10.1007/s40879-020-00399-9
https://doi.org/10.1007/s40879-020-00399-9
Publikováno v:
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics. :194-197
The paper deals with the singularly perturbed Korteweg-de Vries equation with variable coefficients. An algorithm for constructing asymptotic one-phase soliton-like solutions of this equation is described. The algorithm is based on the nonlinear WKB
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b67fbe8be007085e37f2f6e714eece1
https://doi.org/10.17721/1812-5409.2019/1.45
https://doi.org/10.17721/1812-5409.2019/1.45
Publikováno v:
BULLETIN TARAS SHEVCHENKO NATIONAL UNIVERSITY OF KYIV. Mathematics. Mechanics. :35-40
Problem on studying asymptotic one-phase soliton-like solutions to the Korteweg–de Vries equation with variable coefficients and a small parameter of the first degree at the highest derivative is considered for the case of non-zero background. Ther
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b90e414a573b2c8f3d9517b3223b40ad
https://doi.org/10.17721/1684-1565.2019.01-40.08.35-40
https://doi.org/10.17721/1684-1565.2019.01-40.08.35-40
Autor:
Yu. I. Samoilenko, V. H. Samoilenko
Publikováno v:
Ukrainian Mathematical Journal. 65:1681-1697
We describe a set of initial conditions for which the Cauchy problem for a singularly perturbed Korteweg–de-Vries equation with variable coefficients has an asymptotic two-phase solitonlike solution. The notion of the manifold of initial data of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1aa9f94e7492f75a3bcde56ec9dba8a
https://doi.org/10.1007/s11253-014-0889-8
https://doi.org/10.1007/s11253-014-0889-8