Zobrazeno 1 - 10
of 221
pro vyhledávání: '"Gardner's relation"'
Autor:
Kang-Jia Wang
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:1904-1915
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::401eb4d58f1673b0179dbbbb0c4de54d
https://doi.org/10.1002/mma.7897
https://doi.org/10.1002/mma.7897
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 53:884-899
This work deals with applying a rapidly convergent approximation method to obtain some (weak) nonsmooth solitary or periodic solutions of a generic version of the Korteweg-de Vries and the Benjamin-Bona-Mahony equations, the generalized Gardner equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::362542869fa6f37e9c5b3aac8cb93f26
https://doi.org/10.1007/s13226-021-00194-6
https://doi.org/10.1007/s13226-021-00194-6
Publikováno v:
IEEE Transactions on Plasma Science. 49:2629-2636
The nonlinear propagation of ion-acoustic (IA) solitons and double layers (DLs) in a nonrelativistic degenerate plasma is investigated. This plasma model consists of negative ions, positive ions, and degenerate electrons. The Gardner equation is deri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fac72c56ba7c6c42491b1e95f7a6825
https://doi.org/10.1109/tps.2021.3101197
https://doi.org/10.1109/tps.2021.3101197
Autor:
Miguel A. Alejo, Chulkwang Kwak
Publikováno v:
Journal of Dynamics and Differential Equations. 35:575-621
In this work, we deal with the initial value problem of the 5th-order Gardner equation in $\mathbb{R}$, presenting the local well-posedness result in $H^2(\mathbb{R})$. As a consequence of the local result, in addition to $H^2$-energy conservation la
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::036e84341d6d3f538ccdcda932ddb376
https://doi.org/10.1007/s10884-021-10022-4
https://doi.org/10.1007/s10884-021-10022-4
Autor:
Meryem Odabasi
Publikováno v:
Volume: 9, Issue: 2 64-73
Mathematical Sciences and Applications E-Notes
Mathematical Sciences and Applications E-Notes
This study investigates exact analytical solutions of some nonlinear partial differential equations arising in mathematical physics. To this reason, the Kudryashov-Sinelshchikov equation, the ZK-BBM equation and the Gardner equation have been conside
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::756b954fc33e48bb7f741f71954571e0
https://doi.org/10.36753/mathenot.626461
https://doi.org/10.36753/mathenot.626461
Publikováno v:
Izvestiya, Atmospheric and Oceanic Physics. 57:170-179
An approximate analytical description of the nonstationary evolution of cylindrical nonlinear solitary waves with a complex structure is given. A modified Gardner equation with a boundary condition in the form of a “wide” soliton close to the lim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::474833801be1a01d9dc3aa0519be1851
https://doi.org/10.1134/s0001433821020055
https://doi.org/10.1134/s0001433821020055
Publikováno v:
Izvestiya, Atmospheric and Oceanic Physics. 56:556-563
Numerical simulation is used to study the statistical characteristics of an ensemble of internal wave solitons propagating under conditions close to those of the Australian shelf. The distribution of the pulse amplitude depending on the traveled dist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d40b80b84ea970153fac4da00440815
https://doi.org/10.1134/s0001433820060031
https://doi.org/10.1134/s0001433820060031
Autor:
Hatıra Günerhan
Publikováno v:
Mathematical Problems in Engineering. 2020:1-9
Nonlinear partial differential equations (NLPDEs) are an inevitable mathematical tool to explore a large variety of engineering and physical phenomena. Due to this importance, many mathematical approaches have been established to seek their traveling
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e593cb0898df108b0e5df6829564956
https://doi.org/10.1155/2020/5926836
https://doi.org/10.1155/2020/5926836
Autor:
B. Radha, C. Duraisamy
Publikováno v:
Journal of Ambient Intelligence and Humanized Computing. 12:6591-6597
The main objective of this paper is to solve non-linear equations for engineering and science applications. Various emerging engineering and science applications are using non-linear equation to represent the entire problem. Several earlier research
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9a0dab6165be3c4844a33d7d8cce9f8
https://doi.org/10.1007/s12652-020-02278-3
https://doi.org/10.1007/s12652-020-02278-3
Autor:
Mahyar Bokaeeyan, Adrian Ankiewicz
Publikováno v:
Nonlinear Dynamics. 99:2939-2944
Rogue wave structures can often be described by a set of rational solutions. These can be derived for physical systems satisfying various well-known nonlinear equations. We present integral relations which characterize the Gardner rogue waves, and sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aec9a6c53cdf3ba695306c0f7d6f05d6
https://doi.org/10.1007/s11071-019-05377-9
https://doi.org/10.1007/s11071-019-05377-9