Solitary wave solution and conservation laws of higher dimensional Zakharov-Kuznetsov equation with nonlinear self-adjointness

摘要

In this paper, we conside-dimensional Zakharov-Kuznetsov (ZK) equation for nonlinear self-adjointness and symmetries. It is proved that the equation is nonlinearly self-adjoint and its symmetries are computed. The conservation laws are obtained by using new general conservation theorem of Ibragimov for -dimension and particularly for (1+3)-dimensional ZK equation. Multiplier method is also used to find more conservation laws for (1+3)-dimensional ZK equation and symmetry reduction technique is used to calculate the solitary wave solution.