Variational approach, soliton solutions and singular solitons for new coupled ZK system
In this paper, we obtain a variational principle for the new coupled ZakharovKuznetsov (ZK) system by the semi-inverse method. Based on this formulation, a new solitary wave solution can be easily obtained using Ritz method. We obtained the conditions which must remain valid for continuation of the new solitary solution and other solutions to exist. We also studied the collision dynamics between waves in each case. Finally, we give the numerical simulations to complete the study.
soliton solutions singular solitons variational principle coupled zakharovkuznetsov system