[PDF][PDF] Cubic-quartic optical solitons for Lakshmanan-Porsezian-Daniel equation by the improved Adomian decomposition scheme

AA Al Qarni, AM Bodaqah, A Mohammed, AA Alshaery… - Ukr. J. Phys. Opt., 2022 - ifo.lviv.ua
We study a class of Lakshmanan–Porsezian–Daniel equations endowed with a cubic–
quartic nonlinearity. A highly efficient improved Adomian decomposition approach is …

In surface tension; gravity-capillary, magneto-acoustic, and shallow water waves' propagation

MMA Khater - The European Physical Journal Plus, 2023 - Springer
The current work attempts to apply an accurate and numerical strategy to obtain analytical
and approximation soliton solutions to a significant version of the fifth-order KdV equation …

Discussion on rational solutions for Nematicons in liquid crystals with Kerr Law

K Ali, AR Seadawy, S Ahmed, STR Rizvi - Chaos, Solitons & Fractals, 2022 - Elsevier
In this study, lump, lump one-strip, lump two-strip, rogue wave, manifold periodic type exact
solutions are produced via appropriate transformation scheme by taking into account the …

[HTML][HTML] Comparative analysis of numerical with optical soliton solutions of stochastic Gross–Pitaevskii equation in dispersive media

MZ Baber, N Ahmed, MW Yasin, MS Iqbal, A Akgül… - Results in Physics, 2023 - Elsevier
This article deals with the stochastic Gross–Pitaevskii equation (SGPE) perturbed with
multiplicative time noise. The numerical solutions of the governing model are carried out …

Revisiting (2+ 1)-dimensional Burgers' dynamical equations: analytical approach and Reynolds number examination

R Alharbi, AA Alshaery, HO Bakodah… - Physica …, 2023 - iopscience.iop.org
Classical Burgers' equation is an indispensable dynamical evolution equation that is
autonomously devised by Burgers and Harry Bateman in 1915 and 1948, respectively. This …

Semi-analytic solution of time-fractional Korteweg-de Vries equation using fractional residual power series method

S Khirsariya, S Rao, J Chauhan - Results in Nonlinear Analysis, 2022 - dergipark.org.tr
In this paper, we have solved the non-linear Korteweg-de Vries equation by considering it in
time-fraction Caputo sense and offered intrinsic properties of solitary waves. The fractional …

[HTML][HTML] Recent advances in employing the Laplace homotopy analysis method to nonlinear fractional models for evolution equations and heat-typed problems

SM Turq, RI Nuruddeen, R Nawaz - International Journal of Thermofluids, 2024 - Elsevier
This study stems from the growing need for effective mathematical tools to tackle nonlinear
fractional evolution equations, which find wide applications in physics and engineering …

Study of multi-dimensional problems arising in wave propagation using a hybrid scheme

J Liu, M Nadeem, MS Osman, Y Alsayaad - Scientific Reports, 2024 - nature.com
Many scientific phenomena are linked to wave problems. This paper presents an effective
and suitable technique for generating approximation solutions to multi-dimensional …

Traveling waves in two distinct equations: the (1+ 1)-dimensional cKdV–mKdV equation and the sinh-Gordon equation

K Khan, RK Mudaliar, SMR Islam - International Journal of Applied and …, 2023 - Springer
In this research work, two mathematical models, the (1+ 1)-dimensional cKdV–mKdV
equation and the sinh-Gordon (shG) equation, are studied using an analytical method to …

Analytical view of nonlinear delay differential equations using Sawi iterative scheme

M Nadeem, SA Edalatpanah, I Mahariq, WHF Aly - Symmetry, 2022 - mdpi.com
This paper presents the idea of the Sawi iterative scheme (SIS) to derive the analytical
solution of nonlinear delay differential equations (DDEqs). We apply the Sawi transform to …