A general method using multipliers for finding the conserved integrals admitted by any given
partial differential equation (PDE) or system of partial differential equations is reviewed and …

For partial differential equations (PDEs) that have n≥ 2 independent variables and a
symmetry algebra of dimension at least n− 1, an explicit algorithmic method is presented for …

A simple characterization of the action of symmetries on conservation laws of partial
differential equations is studied by using the general method of conservation law multipliers …

The Zakharov–Kuznetsov (ZK) equation is extensively investigated in this study. This
equation is a two-dimensional (2D) generalization of the well-known Korteweg–de Vries …

A conservation law theorem stated by N. Ibragimov along with its subsequent extensions are
shown to be a special case of a standard formula that uses a pair consisting of a symmetry …

This paper studies a non-linear viscoelastic wave equation, with non-linear damping and
source terms, from the point of view of the Lie groups theory. Firstly, we apply Lie's …

This review paper gives an overview of the method of multipliers for partial differential
equations (PDEs). This method has made possible a lot of solutions to PDEs that are of …

In this study, the Painlevé property of Date–Jimbo–Kashiwara–Miwa equation is verified with
WTC approach and the exact soliton solution is obtained using Pickering's algorithm. We …

In this article, we investigate two types of double dispersion equations in two different
dimensions, which arise in several physical applications. Double dispersion equations are …

In this work, we study a generalized Boussinesq equation from the point of view of the Lie
theory. We determine all the low-order conservation laws by using the multiplier method …