Constructing the fractional series solutions for time-fractional K-dV equation using Laplace residual power series technique

S Yadav, RK Vats, A Rao - Optical and Quantum Electronics, 2024 - Springer
In this article, we construct the series solution of the time-fractional Korteveg de Vries (K-dV)
equation through a computational approach named as Laplace residual power series …

Numerical study of nonlinear time-fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising in propagation of waves

A Rao, RK Vats, S Yadav - Chaos, Solitons & Fractals, 2024 - Elsevier
In this manuscript, the numerical approximation of the solution for time-fractional Caudrey–
Dodd–Gibbon–Sawada–Kotera (CDGSK) nonlinear partial differential equation is described …

Interaction Solutions for the Fractional KdVSKR Equations in (1+ 1)-Dimension and (2+ 1)-Dimension

L Zhang, Z Zheng, B Shen, G Wang, Z Wang - 2024 - preprints.org
In this paper, we extend the KdVSKR equations in (1+ 1)-dimension and (2+ 1)-dimension to
fractional KdVSKR equations with modified Riemann-Liouville derivative. The (2+ 1) …