Abstract The coupled Drinfeld–Sokolov–Wilson (DSW) equation is a system of nonlinear
partial differential equations (NLPDEs) in (1+ 1)-dimensions that play a fundamental role in …

In this work, the modified Benjamin–Bona–Mahony equation (MBBME), which has an
important role in the optical illusions field, is investigated by three analytical methods …

The propagation of three-dimensional nonlinear irrotational flow of an inviscid and
incompressible fluid of the long waves in dispersive shallow-water approximation is …

We adopted the Lie symmetry technique to obtain some new exact waveform solutions for
the coupled Drinfeld Sokolov Wilson (DSW) system. This system emerges from phenomena …

This study focuses on investigating the modified Benjamin-Bona-Mahony equation that is
used to model the long wave in nonlinear dispersive media of the optical illusion field. Two …

The paper employs the exp (− Φ (ξ))–expansion method for finding exact solutions of the
Vakhnenko–Parkes (VP) equation. Each of the obtained solutions, namely hyperbolic …

In this paper, the modified simple equation method (MSEM) is applied to construct exact
solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations (NLEEs) …

The improved F-expansion method combined with Riccati equation is one of the most
effective analytical methods in finding the exact traveling wave solutions to non-linear …

In this paper, we derive a new fractal modified Benjamin–Bona–Mahony equation (MBBME)
that can model the long wave in the fractal dispersive media of the optical illusion field …

The Oskolkov equation, which is a nonlinear model that describes the dynamics of an
incompressible visco‐elastic Kelvin–Voigt fluid, is examined in the present study. It has been …