Integrable property, Lie symmetry analysis and explicit solutions to the generalized φ4 model

In this paper, the combination of Painleve analysis and Lie group method is performed, the Painleve properties (PPs) and Backlund transformations (BTs) of the nonlinear phi(4) types of equations are obtained under some conditions. Then, all of the point symmetries of the generalized phi(4) model are given by Lie group classification method. Furthermore, the exact solutions to the equations are investigated by the symmetry reductions and analytic method. (C) 2022 Elsevier Ltd. All rights reserved.

Automated summary

In this paper, the authors combined Painleve analysis and Lie group method to investigate the nonlinear phi(4) type equations, obtaining the Painleve properties and Backlund transformations under certain conditions. The point symmetries of the generalized phi(4) model were determined using Lie group classification method, and exact solutions to the equations were explored through symmetry reductions and analytic methods.