Solitary and periodic wave solutions of the space-time fractional Extended Kawahara equation

D Varol - Fractal and Fractional, 2023 - mdpi.com
The extended Kawahara (Gardner Kawahara) equation is the improved form of the
Korteweg–de Vries (KdV) equation, which is one of the most significant nonlinear evolution …

A new generalized approach for soliton solutions and generalized symmetries of time-fractional partial differential equation

M Kumar, RK Gupta - International Journal of Applied and Computational …, 2022 - Springer
In this study, we have developed a new generalized technique to extract soliton solutions of
conformal time-fractional partial differential equations. These solutions are in the form of …

An efficient technique to solve time-fractional Kawahara and modified Kawahara equations

P Koppala, R Kondooru - Symmetry, 2022 - mdpi.com
In this article, we analysed the approximate solutions of the time-fractional Kawahara
equation and modified Kawahara equation, which describe the propagation of signals in …

Analytical Scheme for Time Fractional Kawahara and Modified Kawahara Problems in Shallow Water Waves

M Nadeem, A Khan, MA Javeed, Z Yubin - Fractal and Fractional, 2024 - mdpi.com
The Kawahara equation exhibits signal dispersion across lines of transmission and the
production of unstable waves from the water in the broad wavelength area. This article …

An effective comparison with Least Square method for solving fractional gas dynamic equations.

AH Kamal, AAM Arafa, SZ Rida, MA Dagher… - Frontiers in Scientific …, 2023 - journals.ekb.eg
Nonlinear time-fractional partial differential equations, especially nonlinear time-fractional
Gas dynamic equations, can be resolved by applying the Optimal Homotopy Asymptotic …