New soliton solutions of modified (3+1)-D Wazwaz–Benjamin–Bona–Mahony and (2+1)-D cubic Klein–Gordon equations using first integral method

Abstract In this article, first integral method (FIM) is used to acquire the analytical solutions of (3+1)-D Wazwaz–Benjamin–Bona–Mahony and (2+1)-D cubic Klein–Gordon equation. New soliton are obtained, such as solitons, cuspon, periodic solutions. FIM a direct nonlinear partial differential equations (PDEs). The proposed technique can be for solving higher dimensional PDEs. implemented solve integrable ion-integrable equations.