A (3+1)-dimensional generalized BKP-Boussinesq equation: Lie group approach

Abstract

A (3+1)-D generalized B-type KP-Boussinesq equation, which was recently formulated in the literature, is investigated here from Lie group standpoint. A solution is obtained by Lie symmetry reductions and direct integration in terms of incomplete elliptic integral. Furthermore, hyperbolic and trigonometric functions solutions are derived by invoking the (G′/G)- expansion method. Finally, we construct conservation laws of the aforementioned equation by utilizing the multiplier method and conservation theorem due to Ibragimov. Keywords: A (3+1)-dimensional generalized BKP-Boussinesq equation, Lie point symmetries, Exact solutions, Incomplete elliptic integral, (G′/G)-expansion method, Conservation laws