
Fig. 1
Behaviour of ψ1 for , r = 3, p = −1, p1 = 7, p2 = 2, λ0 = 0, λ1 = ɛ = 1: (a,b,c) cubical wave pattern, and (d,e,f) planner wave pattern.

Fig. 2
Plot of solution ψ5 for p = λ0 = 0, λ1 = p1 = r = q = ɛ = 1, p2 = 2: (a,b,c) cubical wave pattern, and (d,e,f) planner wave pattern.

Fig. 3
Graphical representation of ψ6 for M = 0, L = N = r = p1 = ɛ = 1, p2 = k = 2: (a,b,c) cubic wave form, and (d,e,f) 2D wave pattern.

Fig. 4
Outlook of solution ψ7 for q = B = λ = p1 = p2 = β1 = γ = ɛ = 1, r = 2: (a,b,c) cubical wave pattern, and (d,e,f) planner wave pattern.