In this paper, the Lie symmetry analysis method is employed to investigate the Lie point
symmetries and the one-parameter transformation groups of a (2+ 1)-dimensional Boiti-Leon …

The Lie symmetry analysis is applied to study the Ablowitz–Kaup–Newell–Segur (AKNS)
system of water wave model. The AKNS system can be obtained from a dispersive-wave …

We carry out enhanced symmetry analysis of a two-dimensional Burgers system. The
complete point symmetry group of this system is found using an enhanced version of the …

A new fast numerical scheme is proposed for solving time‐dependent coupled Burgers'
equations. The idea of operator splitting is used to decompose the original problem into …

Abstract The generalized Kaup–Boussinesq equation is a model which is used to describe
the water wave. In this paper, Lie group analysis method is used to perform detailed analysis …

With the help of symbolic computation, two types of complete scalar classification for dark
Burgers' equations are derived by requiring the existence of higher order differential …

In this paper we consider classical Boussinesq–Burgers system. Lie group method is used
to analyze the system in detail, and the system is reduced into ODEs under the Lie …

We have applied the new approach of homotopic perturbation method (NHPM) for Burger
differential system equations featuring time-fractional derivative. A combination of NHPM …

The degenerate coupled multi-Korteweg–de Vries equations for coupled multiplicity l= 3 l= 3
are studied. The equations, also known as three-field Kaup–Boussinesq equations, are …

In this paper, we introduce the multi-variate spectral quasi-linearization method which is an
extension of the previously reported bivariate spectral quasi-linearization method. The …