Abstract We focus on the (3+ 1)-dimensional generalized breaking soliton (GBS) equation,
which describes a Riemann wave propagating along three spatial dimensions. The …

This paper presents a mathematical formulation and numerical simulations of an unsteady
magnetohydrodynamic non-Newtonian nanofluid flow and entropy generation over a vertical …

Under investigation in this paper is a generalized (3+ 1)-dimensional Kadomtsev–
Petviashvili equation in fluid dynamics and plasma physics. Soliton and one-periodic-wave …

Numerical investigation of fractional-order unsteady natural convective radiating flow of
nanofluid in a vertical channel Page 1 AIMS Mathematics, 4(5): 1416–1429. DOI: 10.3934/math.2019.5.1416 …

The closed‐form wave solutions to the time‐fractional Burgers' equation have been
investigated by the use of the two variables ((G′/G),(1/G))‐expansion, the extended tanh …

The study of complex nonlinear mathematical models of fractional-order needs more
attention in recent decades due to its enormous contribution to science and technology …

The evolution equations with fractional or variable order derivatives can deliver a proper
mathematical modeling to define the transport dynamics and anomalous diffusion in …

Abstract The extended (3+ 1)-dimensional Kadomtsev–Petviashvili equation is widely used
in such domains as fluid mechanics, optics and so on. In this paper, we derive a new time …

In this article, a mathematical model is developed inview of Caputo fractional derivative for
Oldroyd-B hybrid nanofluid via a porous medium over a vertical surface. Nano-sized …

Nonlinear evolution equations (NLEEs) have a wide range of applications in various fields,
including physics, engineering, biology, economics, and more. These equations are used to …