Zobrazeno 1 - 10
of 520
pro vyhledávání: '"Kawahara equation"'
Autor:
Musawa Yahya Almusawa, Hassan Almusawa
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 31898-31925 (2024)
This study delved into the analytical investigation of two significant nonlinear partial differential equations, namely the fractional Kawahara equation and fifth-order Korteweg-De Vries (KdV) equations, utilizing advanced analytical techniques: the
Externí odkaz:
https://doaj.org/article/c57fb898412b4dd28948fe5c8b9327e5
Publikováno v:
Frontiers in Physics, Vol 12 (2024)
The symmetry features of fractional differential equations allow effective explanation of physical and biological phenomena in nature. The generalized form of the fractional differential equations is the variable-order fractional differential equatio
Externí odkaz:
https://doaj.org/article/f4126c2fee4449fb98d0b836b06a3fcb
Autor:
Laila A. Al-Essa, Mati ur Rahman
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-18 (2024)
Abstract With the use of the Caputo, Caputo-Fabrizio (CF), and Atangana-Baleanu-Caputo (ABC) fractal fractional differential operators, this study offers a theoretical and computational approach to solving the Kawahara problem by merging Laplace tran
Externí odkaz:
https://doaj.org/article/24e681bc57d14d3cae222f782e64df14
Autor:
Dan-Andrei Geba
Publikováno v:
Electronic Research Archive, Vol 32, Iss 2, Pp 1067-1081 (2024)
In this article, we obtain new results on the unconditional well-posedness for a pair of periodic nonlinear dispersive equations using an abstract framework introduced by Kishimoto. This framework is based on a normal form reductions argument coupled
Externí odkaz:
https://doaj.org/article/89346ffe089f4bc6947936971299b84e
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 1, Pp 20-43 (2024)
This article presents a novel numerical approach to the solution of the nonlinear Kawahara equation. The desired approximations are obtained from the combination of Dickson polynomials and Taylor’s expansion. The combined approach is based on Taylo
Externí odkaz:
https://doaj.org/article/442f64d786c74a88bc2e82c4252dda81
Publikováno v:
Mathematics in Applied Sciences and Engineering, Vol 4, Iss 4, Pp 264-284 (2023)
The present study examines a semi-analytical method known as the Fractional Residual Power Series Method for obtaining solutions to the non-linear, time-fractional Kawahara and modified Kawahara equations. These equations are fifth-order, non-linear
Externí odkaz:
https://doaj.org/article/2cd18294f9bb49249d81cac24f2fa97d
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 512 (2024)
In this manuscript, we survey a numerical algorithm based on the combination of the homotopy perturbation method and the Sadik transform for solving the time-fractional nonlinear modified shallow water waves (called Kawahara equation) within the fram
Externí odkaz:
https://doaj.org/article/2fbe9ece2f3f453b8f5fa87e2564804c
Autor:
Pan Xintian, Zhang Luming
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 657-662 (2023)
In this article, a numerical solution for the Rosenau-Kawahara equation is considered. A new conservative numerical approximation scheme is presented to solve the initial boundary value problem of the Rosenau-Kawahara equation, which preserves the or
Externí odkaz:
https://doaj.org/article/bb0912ce3cd14efd9af9c82c96f0f494
Publikováno v:
Journal of Taibah University for Science, Vol 17, Iss 1 (2023)
The two-dimensional fluid quantum hydrodynamic (QHD) is adopted as the basis for a discussion of the effects of Landau quantization magnetic field, the Coriolis force, and collisional frequency on the (non)linear properties of the dissipative ion-aco
Externí odkaz:
https://doaj.org/article/87b121e01fc14af795ce52ed8654ed5c
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