In this work, a new adaptive numerical method is proposed for solving nonlinear, singular,
and stiff initial value problems often encountered in real life. Starting with a fixed step size …

In this study, the coupled nonlinear (1+ 1)-dimensional Drinfel'd–Sokolov–Wilson (DSW)
equation in dispersive water waves is investigated. The proposed structure is very important …

This article offers a well-organized and novel algorithm for solving time-fractional Fornberg–
Whitham, Klein–Gordon equation and biological population models occurring from physics …

In the present work, the fractional‐order Sawada–Kotera–Ito problem is solved by
considering nonlocal Caputo and nonsingular Atangana–Baleanu (ABC) derivatives. The …

In this paper, we investigate an efficient technique for solving fractional integro-differential
equations (FIDEs) that have numerous applications in various fields of science. The …

This study aims to identify soliton structures as an inherent fractional discrete nonlinear
electrical transmission lattice. Here, the analysis is founded on the idea that the electrical …

In this article, the Hirota bilinear method is utilized to reveal multi-fusion solutions to the
Broer-Kaup-Kupershmidt (BKK) system in (2+ 1)-dimension. The Broer-Kaup equations are …

In this study, the conformable Klein–Gordon equation (KGE) has been investigated. The
conformable nonlinear mathematical model has been converted into ordinary differential …

Using a fractional-order replication dynamic equation to describe the process of learning
and modifying strategies, this paper tries to develop a fractional-order game model of green …

This research is about some new exact solitons to the new Hamiltonian amplitude equation
with novel truncated M-fractional derivatives. Extended Sinh-Gordon equation expansion …