Investigating symmetric soliton solutions for the fractional coupled konno–onno system using improved versions of a novel analytical technique
The present research investigates symmetric soliton solutions for the Fractional Coupled
Konno–Onno System (FCKOS) by using two improved versions of an Extended Direct …
Konno–Onno System (FCKOS) by using two improved versions of an Extended Direct …
Fractional view analysis of Kuramoto–Sivashinsky equations with non-singular kernel operators
In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …
Analysis of Fractional‐Order Regularized Long‐Wave Models via a Novel Transform
A new integral transform method for regularized long‐wave (RLW) models having fractional‐
order is presented in this study. Although analytical approaches are challenging to apply to …
order is presented in this study. Although analytical approaches are challenging to apply to …
[HTML][HTML] Highly dispersive optical solitons in fiber Bragg gratings for stochastic Lakshmanan–Porsezian–Daniel equation with spatio-temporal dispersion and …
Nonlinear partial differential equations serve as key components for the mathematical
representation of engineering phenomena across several domains within the known …
representation of engineering phenomena across several domains within the known …
Fractional series solution construction for nonlinear fractional reaction-diffusion Brusselator model utilizing Laplace residual power series
This article investigates different nonlinear systems of fractional partial differential equations
analytically using an attractive modified method known as the Laplace residual power series …
analytically using an attractive modified method known as the Laplace residual power series …
[HTML][HTML] Three different integration schemes for finding soliton solutions in the (1+ 1)-dimensional Van der Waals gas system
This paper explores three distinct integration schemes applied to the problem of finding
soliton solutions in the (1+ 1)-dimensional Van der Waals gas system. The methods …
soliton solutions in the (1+ 1)-dimensional Van der Waals gas system. The methods …
Fractional analysis of nonlinear Boussinesq equation under Atangana–Baleanu–Caputo operator
This article proposed two novel techniques for solving the fractional-order Boussinesq
equation. Several new approximate analytical solutions of the second-and fourth-order time …
equation. Several new approximate analytical solutions of the second-and fourth-order time …
[HTML][HTML] Efficient computational approaches for fractional-order Degasperis-Procesi and Camassa–Holm equations
In this study, we present a comprehensive comparison of two powerful analytical techniques,
Aboodh Adomian decomposition method (AADM) and homotopy perturbation transform …
Aboodh Adomian decomposition method (AADM) and homotopy perturbation transform …
An efficient analytical approach to investigate fractional Caudrey–Dodd–Gibbon Equations with non-singular kernel derivatives
Fractional calculus is at this time an area where many models are still being developed,
explored, and used in real-world applications in many branches of science and engineering …
explored, and used in real-world applications in many branches of science and engineering …
A comparative study of fractional partial differential equations with the help of yang transform
In applied sciences and engineering, partial differential equations (PDE) of integer and non-
integer order play a crucial role. It can be challenging to determine these equations' exact …
integer order play a crucial role. It can be challenging to determine these equations' exact …