A symbolic computational approach to finding solutions and conservation laws for (3 + 1)-dimensional modified BBM models

In this work three recently introduced (3 + 1)-dimensional nonlinear modified Benjamin-Bona-Mahony equations are studied from the modern group-theoretical analysis standpoint. The (3 + 1)-dimensional nonlinear differential equations are considered to be more realistic equations compared to the (1 + 1) and (2 + 1)-dimensional equations. Here we construct soliton and Jacobi elliptic function solutions of these three underlying equations and compute their conservation laws by employing Noether’s approach. The obtained solutions are presented graphically.