In this paper, we present a review of featured works in the field of hydrodynamics with the
main aim to clarify the ways of understanding the algorithms for solving the Navier–Stokes …

Lie symmetry analysis of differential equations provides a powerful and fundamental
framework to the exploitation of systematic procedures leading to the integration by …

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems,
is an exceptional and complete reference for scientists and engineers as it contains over …

In this paper, we concern ourselves with the nonlinear Kadomtsev–Petviashvili equation
(KP) with a competing dispersion effect. First we examine the integrability of governing …

The fourth-order nonlinear Boussinesq water wave equation, which explains the
propagation of long waves in shallow water, is explored in this article. We used the Lie …

This volume contains the proceedings of the 7th Euro-China Conference on Intelligent Data
Analysis and Applications (ECC 2021), which is hosted by Communication University of …

In this research, we investigate the integrability properties of the Schamel–Korteweg–de
Vries (S-KdV) equation, which is important for understanding the effect of electron trapping …

Due to the high complexity of biological data it is difficult to disentangle cellular processes
relying only on intuitive interpretation of measurements. A Systems Biology approach that …

In this paper, we studied a higher-dimensional space and time fractional model, namely, the
(3+ 1)-dimensional dissipative Burgers equation which can be used to describe the shallow …

Under investigations were several coupled time–space fractional integrable equations
which are called the (1+ 1)-dimensional KdV-type equations, the (2+ 1)-dimensional Burgers …