Lie symmetry analysis for similarity reduction and solutions of (3 + 1)- dimensional Calogero-Bogoyavlenskii-Schiff equation

摘要

It is shown that the novel Lie group of transformations method is a competentand prominent tool in solving nonlinear partial differential equations(PDEs) inmathematical physics. Lie group analysis is used to carry out the similarityreduction and exact solutions of the (3 + 1)-dimensionalCalogero-Bogoyavlenskii-Schiff (CBS) equation. This research deals with thesimilarity solutions of CBS equation. We have obtained the infinitesimalgenerators, commutator table of Lie algebra, symmetry group and similarityreduction for the CBS equation. For the different Lie algebra, Lie symmetrymethod reduced (3 + 1)-dimensional CBS equation into new (2 + 1)-dimensionalpartial differential equations and again using Lie symmetry method these PDEsare reduced into various ordinary differential equations(ODEs).