In this paper, a fractional order model of the phytoplankton–toxic phytoplankton–
zooplankton system with Caputo fractional derivative is investigated via three computational …

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 this paper, we consider certain time-fractional cancer tumor models where the killing rates
are space as well as time-dependent. Applying the Lie symmetry analysis, we obtain the …

In this article, we construct exact solutions to a quasilinear system of hyperbolic partial
differential equations which governs the dynamics of a thin film of a perfectly soluble anti …

In this work, a Lie group reduction for a (2+ 1) dimensional fractional Kadomtsev-Petviashvili
(KP) system is determined by using the Lie symmetry method with Riemann Liouville …

In this article we consider a system of first order quasilinear hyperbolic partial differential
equations (PDEs) governing the one-dimensional macroscopic production model which …

The axisymmetric longitudinal waves propagating in the long infinite cylindrical rod
composed of material and structural constants, combinedly called as general …

In this article, we obtain several new exact solutions of (2+ 1)-dimensional Boiti–Leon–
Pempinelli system of nonlinear partial differential equations (PDEs) which describes the …

In the present study, we focus on the (2+ 1) dimensional normal biological population model
(NBPM), which describes the population migration of species. We employ Lie symmetry …

In this article, the well-known Cargo–Leroux model with isentropic perturbation equation of
state is analyzed using the Lie symmetry method. By using invariant conditions of system of …