Baecklund Transformation and Exact Solutions for a New Generalized Zakharov—Kuzentsov Equation with Nonlinear Terms of Any Order

In this paper,with the help of symbolic computation,a new Backlund transformation(BT)for a new generalized Zakharov-Kuznetsov equation with nonlinear term of any order,ut+aupux+bu2pux+γuxy+δuxxx+ρuxyy=0,is obtained by using the homogeneous balance method.Based on the BT,some exact solutions are presented.