Purpose The purpose of this paper is to study the new (3+ 1)-dimensional integrable fourth-
order nonlinear equation which is used to model the shallow water waves …

The purpose of this research was to estimate the thermal characteristics of tri-HNFs by
investigating the impacts of ternary nanoparticles on heat transfer (HT) and fluid flow. The …

A fractal modification of the modified KdV–Zakharov–Kuznetsov equation is suggested and
its fractal generalized variational structure is established by means of the semi-inverse …

The aim of this study is to explore some semi-domain soliton solutions for the fractal (3+ 1)-
dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation (GKPBe) within …

The essential purpose of this study is to discuss the impact of time-periodic variations on
mixed convection heat transfer for MHD Eyring-Powell nanofluid. The fluid flows through a …

The aim of the present study is to explore the variation of heat on MHD Williamson hybrid
nanofluid (Ag-TiO2/H2O) model for steady two-dimensional and incompressible flow with a …

A new fractal Rosenau–Burgers equation with He's fractal derivative is proposed in this
work. Exerting the semi-inverse method, two different kinds of the generalized fractal …

The fractal calculus has gained more widespread attention in the last years. The fractal
variational principle plays a major role in the fractal travelling wave theory of the fractal …

In the present work, we aim to explore the new (3+ 1)-dimensional integrable fourth-order
nonlinear equation (IFNE) for describing the shallow water waves. First, we study its N …

In this research, we focus on some novel exact solutions of the new (2+ 1)-dimensional
shallow water wave equation (SWWE). First, the soliton molecules on the (x, y)-,(x, t)-and (y …