Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Piotr Rozmej"'
Autor:
Anna Karczewska, Piotr Rozmej
Publikováno v:
Applied Sciences, Vol 14, Iss 16, p 7094 (2024)
The (2+1)-dimensional fifth-order KdV equation and (2+1)-dimensional Gardner equation obtained by us using Euler equations for an ideal fluid model in 2023 are revisited. Including additional second-order corrections enabled the derivation of the (2+
Externí odkaz:
https://doaj.org/article/c2914a75b39c41b6b109be96d74e1cab
Autor:
Piotr Rozmej, Anna Karczewska
Publikováno v:
Advances in Mathematical Physics, Vol 2018 (2018)
New exact solutions to the KdV2 equation (also known as the extended KdV equation) are constructed. The KdV2 equation is a second-order approximation of the set of Boussinesq’s equations for shallow water waves which in first-order approximation yi
Externí odkaz:
https://doaj.org/article/da9d3010bda748f79a4a78e492ff92b8
Akademický článek
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Publikováno v:
International Journal of Theoretical Physics; Oct2024, Vol. 63 Issue 10, p1-7, 7p
Autor:
Anna Karczewska, Piotr Rozmej
Publikováno v:
Nonlinear Dynamics. 108:4069-4080
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b62f5e9f71adaade5994d3c1b0ee8a8
https://doi.org/10.1007/s11071-022-07385-8
https://doi.org/10.1007/s11071-022-07385-8
Autor:
Anna Karczewska, Piotr Rozmej
Publikováno v:
SSRN Electronic Journal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::041e8503d4a5fb58b3ed8c08e7f105d2
https://doi.org/10.2139/ssrn.4208036
https://doi.org/10.2139/ssrn.4208036
Autor:
Anna Karczewska, Piotr Rozmej
Publikováno v:
Acta Physica Polonica A. 136:910-915
In this note, we discuss the existence of analytic solutions to the nonlinear wave equations of the higher order than the ubiquitous Korteweg-de Vries (KdV) equation. First, we recall our recent results which show that the extended KdV equation (KdV2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::008285d072cd582ffb6483eb46120ec5
https://doi.org/10.12693/aphyspola.136.910
https://doi.org/10.12693/aphyspola.136.910
Autor:
Anna Karczewska, Piotr Rozmej
We study the problem of gravity surface wa\-ves for the ideal fluid model in (2+1)-dimensional case. We apply a systematic procedure for deriving the Boussinesq equations for a prescribed relationship between the orders of four expansion parameters,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cde13eaff0d7fad88c32db4a58aa1b11
https://doi.org/10.21203/rs.3.rs-1110062/v1
https://doi.org/10.21203/rs.3.rs-1110062/v1
Autor:
Piotr Rozmej, Anna Karczewska
Publikováno v:
NODYCON Conference Proceedings Series ISBN: 9783030811693
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::329143072284011c370ac4a682fc1888
https://doi.org/10.1007/978-3-030-81170-9_39
https://doi.org/10.1007/978-3-030-81170-9_39
Autor:
Piotr Rozmej, Anna Karczewska
The authors of the paper "Two-dimensional third- and fifth-order nonlinear evolution equations for shallow water waves with surface tension" \cite{Fok} claim that they derived the equation which generalizes the KdV equation to two space dimensions bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e773dd2813b6b093106aac3290e5d4f8
http://arxiv.org/abs/2105.08519
http://arxiv.org/abs/2105.08519