Conservation laws, soliton solutions and periodic solutions for generalized coupled Zakharov-Kuznetsov equations

The objectives of this paper are construct the conservation laws and the corresponding conserved quantities for the generalized coupled Zakharov-Kuznetsov (gcZK) equations for each multipliers using multiplier approach. Also we obtained the soliton solutions, kink-type and periodic solutions for these equations via simplest equation method. We analysis these solutions physically and numerically by some figures to complemented these studies. Finally, we will prove that these solutions can't appear anywhere.