Fig 1.
Graphical visualization of travelling wave for ψ2,1(x, t) with parameters, δ = 1.3, Γ = 0.25, ℵ = −1.25, f = 0.45, β = 0.5, ϑ = 0.75, r = 0.65, v = 0.9, σ = 1.36, ℓ = −0.63 and Ω = 1.25.
Fig 2.
Graphical visualization of travelling wave for ψ3,2(x, t) with parameters, δ = 1.3, Γ = 0.25, ℵ = −1.25, f = 0.45, β = 0.5, ϑ = 0.75, r = 0.65, v = 0.2, σ = 1.36, ℓ = −0.62 and Ω = 1.25.
Fig 3.
Graphical visualization of travelling wave for ψ6,1(x, t) with parameters, δ = 1.3, Γ = 0.25, ℵ = −1.25, f = 0.45, β = 0.3, ϑ = 0.75, r = 0.65, v = 0.9, σ = 1.36, ℓ = −1.25 and Ω = 1.25.
Fig 4.
Graphical visualization of travelling wave for ψ7,2(x, t) with parameters, δ = 1.3, Γ = 1.25, ℵ = 1.5, f = 0.45, c = 2.5, β = −0.3, ϑ = 0.75, r = 0.65, v = 0.9, σ = 1.36, ℓ = −1.25 and Ω = 1.25.
Fig 5.
Graphical visualization of travelling wave for ψ8,1(x, t) with parameters, ζ = 1.3, Γ = 0.25, ℵ = 0.5, f = 0.45, ν = 0.5, β = −1.95, κ = 0.175, r = 0.65, v = −1.75, σ = 1.36, ℓ = 1.25 and Ω = 1.25.
Fig 6.
Graphical visualization of travelling wave for ψ11,1(x, t) with parameters, ζ = −2.3, Γ = 0.25, ℵ = 0.5, f = 0.45, ν = 0.5, β = 0.63, κ = 0.175, r = 0.65, v = 1.9, σ = 1.36, ℓ = −1.25 and Ω = 1.25.
Fig 7.
Graphical visualization of travelling wave for ψ14,2(x, t) with parameters, ζ = 1.3, Γ = 0.25, ℵ = 0.5, f = 0.45, ν = 0.5, β = 0.63, κ = 0.75, r = 0.65, v = 0.09, σ = 1.36, ℓ = −1.5 and Ω = 1.25.
Fig 8.
Graphical visualization of travelling wave for ψ16,1(x, t) with parameters, ζ = 1.3, Γ = 0.25, ℵ = 0.5, f = 0.45, ν = 0.5, β = −2.3, κ = 0.75, r = 0.65, v = 2.9, σ = 1.36, ℓ = −1.25 and Ω = 1.25.
Fig 9.
Profile of periodic with parametric values, ℵ = 0.03, Ω = 0.05, f = 0.06, σ = 0..08, ω = 0.08, r = 0.07 and the perturbation term.
Fig 10.
Profile of quasi-periodic with parametric values, ℵ = 0.03, Ω = 0.05, f = 0.06, σ = 0.01, ω = 0.06, r = 0.07 and the perturbation term.
Fig 11.
Profile of quasi-periodic chaotic with parametric values, ℵ = 0.03, Ω = 0.05, f = 0.06, σ = 0.01, ω = 0.08, r = 0.07 and the perturbation term.