Abstract
We study a nonlinear evolution partial differential equation, namely, the generalized $(3+1)$ -dimensional (3D) Kawahara equation. The Lie symmetry method in conjunction with the Kudryashov method will be employed to derived solutions of the 3D generalized Kawahara equation. Furthermore, the multiplier method will be implemented to construct conservation laws of the generalized 3D Kawahara equation. Thereafter, a brief physical meaning of the derived conserved quantities is discussed.
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