SARS-CoV-2 and its variants have been investigated using a variety of mathematical
models. In contrast to multi-strain models, SARS-CoV-2 models exhibit a memory effect that …

The main purpose of this study is to introduce symmetry analysis and Nucci's reduction
method for revealing the exact solutions of the periodic Hunter–Suxon equation, which is …

In the present paper, we apply Lie symmetry to the Suliciu relaxation system governed by
viscoelastic shallow fluid. Utilizing the local symmetries of the governing PDEs, we derive …

Purpose Investigation of the smoking model is important as it has a direct effect on human
health. This paper focuses on the numerical analysis of the fractional order giving up …

In this study, we consider a hyperbolic system of quasi-linear partial differential equations,
governed by the traffic flow model on two lanes. We employ symmetry analysis and establish …

In this paper, we are going to investigate the (3+ 1)-dimensional nonlinear modified
Korteweg–de Vries-Zakharov–Kuznetsov (mKdV–ZK) equation, which governs the behavior …

In this paper, the time-fractional Navier–Stokes equation arising in unsteady flow of viscous
fluid in the sense of Riemann–Liouville fractional derivative is considered. Then we …

This research investigates a one-dimensional system of quasi-linear hyperbolic partial
differential equations, obtained by vertically averaging the Euler equations between artificial …

Abstract In this research, the (2+ 1)‐dimensional normal biological population model,
incorporating the Verhulst law for population growth, is employed to explore species …

This paper aims to study a (2+ 1)-dimensional Biological population model with the porous
medium by Lie symmetry method. By using commutation tables, the one-dimensional …