Generalized KdV equation involving Riesz time-fractional derivatives: constructing and solution utilizing variational methods
2020
Alshenawy, R. | Al-alwan, Ali | Elmandouh, A. A.
In this work, the time-fractional generalized Korteweg de Vries (TFGKdV) is derived by utilizing the method of a semi-inverse and the variational principles. Based on the initial condition relying on the dispersion and nonlinear coefficients, we can apply the He’s variational iteration to construct an approximated solution for the TFGKdV equation. Finally, we study the impact of the fractional derivatives on the propagation and the structure of the solitary waves obtained from the solution of TFGKdV equation.
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书目信息
Journal of Taibah University for Science
卷
14
期
1
页码
314
- 321
ISSN
1658-3655
出版者
Taylor & Francis
其它主题
Riesz fractional derivative; The method of he’s variational iteration; Riemann–liouville fractional derivative; Dispersibility; Kdv equation
语言
英语
注释
The authors acknowledge the Deanship of Scientific Research at King Faisal University for the financial support under Nasher Track [grant number 186034].
类型
Journal Article; Text
2024-02-28
MODS