Abstract The generalized modified Equal–Width (GMEW) equation is often used to show
how a one-dimensional wave moves through a medium that is not linear and has dispersion …

This study uses crystal lattice theory and physicochemical characterization to show a
number of correct wave solutions that are like the way plasma waves move. The nonlinear …

Nonlinear fractional evolution equations play a crucial role in characterizing assorted
complex nonlinear phenomena observed in different scientific fields, including plasma …

The variable-order evolution equation is an impressive mathematical model that explain
complex dynamical problems efficiently and accurately. This latest research investigates the …

In this research paper, the authors aim to establish a novel algorithm in the finite difference
method (FDM). The novel idea is proposed in the mesh generation process, the process to …

This article explores the exact solutions of the variable order fractional derivative of the
stochastic Ginzburg–Landau equation (GLE) using the G′ G 2-expansion method with the …

Abstract In this work, 1/G′, modified G′/G 2 and new extended direct algebraic methods
are proposed to construct the novel exact traveling wave solutions in the form of …

Nonlinear fractional differential equations provide suitable models to describe real-world
phenomena and many fractional derivatives are varying with time and space. The present …

Determining the non-linear traveling or soliton wave solutions for variable-order fractional
evolution equations (VO-FEEs) is very challenging and important tasks in recent research …

This work is based on finding the new and interesting traveling wave solutions of space-time
fractional modified equal width equation, which is a pulse-like solitary wave nonlinear wave …