Bright, periodic, compacton and bell-shape soliton solutions of the extended QZK and (3 + 1)-dimensional ZK equations

M Ali Akbar,Md Abdul Kayum,M S Osman

Figure 12. The 3D and 2D graphics for $s\left(t\right)=\,\sin \left(\lambda {\rm{t}}\right)$ of the particular solution (67) with the particular values $l=1,$ $m=0.2,$ $n=0.9,$ $\delta =1,$ $\gamma =1.5,$ $\beta =2.5,$ $\alpha =1.5$ and $\lambda =0.1.$