Figure 1

The dark soliton behavior for the solution \(w_{1} \left( {x,y,t} \right)\) using \(\alpha_{1} = 0.1,\alpha_{2} = 0.3,\alpha_{3} = - 0.1,\mu = 0.5,y = 1.5,{\Omega }_{1} = 0.2,{\Omega }_{2} = 0.1,{\Omega }_{3} = 0.01.\)

The dark soliton behavior for the solution \(w_{1} \left( {x,y,t} \right)\) using \(\alpha_{1} = 0.1,\alpha_{2} = 0.3,\alpha_{3} = - 0.1,\mu = 0.5,y = 1.5,{\Omega }_{1} = 0.2,{\Omega }_{2} = 0.1,{\Omega }_{3} = 0.01.\)