A study of a generalized (3+1)-dimensional Kadomtsev- Petviashvili Benjamin-Bona-Mahony equation with power law nonlinearity

In this talk we study a generalized (3+1)-dimensional Kadomtsev-Petviashvili Benjamin-Bona–Mahony (gnKP-BBM) equation, which has several applications in various scientific fields. We invoke Lie’s theory to compute point symmetries of the equation. Using these symmetries the gnKP-BBM equation is reduced to numerous nonlinear ordinary differential equations (NLODEs). Thereafter, solutions of the NLODEs are constructed by using the Jacobi elliptic cosine method, the (G”/G)-expansion method, the simplest equation technique and Kudryashov’s method. Furthermore,, we derive conserved quantities of the gnKP-BBM equation by employing the Ibragimov’s method.