SAMS Subject Classification Number: 3

In this talk we investigate the solutions of the (3+1)-dimensional Gardner-type equation. This equation and its generalizations are used in many areas of applications, such as hydrodynamics, plasma physics, and quantum field theory. We use the Lie symmetry method to obtain exact solutions of the (3+1)-dimensional Gardner-type equation. Moreover, conservation laws of (3+1)-dimensional Gardner-type equation are derived using Ibragimov’s theorem.