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International Journal of Mathematics and Computer in Engineering
Volume 2 (2024): Issue 1 (June 2024)
Open Access
New closed form solutions of some nonlinear pseudo-parabolic models via a new extended direct algebraic method
Akhtar Hussain
Akhtar Hussain
,
Hassan Ali
Hassan Ali
,
Fiazuddin Zaman
Fiazuddin Zaman
and
Naseem Abbas
Naseem Abbas
| Oct 31, 2023
International Journal of Mathematics and Computer in Engineering
Volume 2 (2024): Issue 1 (June 2024)
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Article Category:
Original Study
Published Online:
Oct 31, 2023
Page range:
35 - 58
Received:
Aug 11, 2023
Accepted:
Sep 11, 2023
DOI:
https://doi.org/10.2478/ijmce-2024-0004
Keywords
Benjamin-Bona-Mahony-Peregrine equation
,
generalized hyper elastic rod wave equation
,
pseudo-parabolic class
,
new extended direct algebraic method
© 2024 Akhtar Hussain et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Fig. 1
3D surface of v1(x, t) given in (49) with ω3 = 1, μ = 3, ϕ = e, b0 = 1, α = γ = 1 and θ = −1.
Fig. 2
3D surface of v6(x, t) given in (66) with ω1 = 1, ω2 = 1, ω3 = 2, μ = 3, ϕ = e, b2 = −1 and λ = 1.
Fig. 3
3D surface of |v8(x, t)| given in (50) with ω1 = 1, ω2 = 1, ω3 = 2, μ = 3, ϕ = e, b0 = 1, α = 1, θ = 1, r = 1 and γ = 1.
Fig. 4
3D surface of v36(x, t) given in (75) with ω1 = 0, b2 = −1, ω2 = 1, μ = 3, ϕ = e, s = 1, and λ1 = 1.