This review summarizes all known results (up to this date) about methods of integration of
the classical Lotka–Volterra systems with diffusion and presents a wide range of exact …

It is well known that symmetry-based methods are very powerful tools for investigating
nonlinear partial differential equations (PDEs), notably for their reduction to those of lower …

Abstract The reactor Point Kinetics Equations (PKE) are simpler zero-dimensional
approximation to space dependent dynamical models of nuclear reactor core, that are …

In this paper, we investigate a spatially two-dimensional Burgers–Huxley equation that
depicts the interaction between convection effects, diffusion transport, reaction gadget, nerve …

In nature, symmetry is all around us. The symmetry framework represents integer partial
differential equations and their fractional order in the sense of Caputo derivatives. This …

This paper proposed a novel dual-mode nonlinear Schrödinger equation (DMNLSE) with
cubic law. The DMNLSE describes the propagations of two moving waves simultaneously …

This book on integrable systems and symmetries presents new results on applications of
symmetries and integrability techniques to the case of equations defined on the lattice. This …

The objective of this manuscript is to examine the non-linear characteristics of the modified
equal width-Burgers equation, known as the generalized Kadomtsive–Petviashvili equation …

The focus of this paper is to investigate the exact solutions of a diffusive susceptible‐
infectious‐recovered (SIR) epidemic model, characterized by a nonlinear incidence. A four …

Using well-known mathematical foundations of the elasticity theory, a mathematical model
for two solutes transport in a poroelastic material (soft tissue is a typical example) is …