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pro vyhledávání: '"Gardner's relation"'
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Autor:
Kang-Jia Wang
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:1904-1915
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
Publikováno v:
Agricultural Water Management. 2:25-35
An experimental study on evaporation from homogeneous sandy and loamy soils was carried out to define the unsaturated hydraulic conductivity function. Gardner's empirical function k ( ψ ) (1958) was used in the analysis of experimental data. Paramet
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
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
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
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
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
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