[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 …

[HTML][HTML] Application of modified exp-function method for strain wave equation for finding analytical solutions

M Shakeel, NA Shah, JD Chung - Ain Shams Engineering Journal, 2023 - Elsevier
The strain wave equation in micro-structured solids, which is significant in solid physics, is
offered for consideration in this work. This is accomplished using the modified exp-function …

[HTML][HTML] Multi-soliton solutions of the Sawada-Kotera equation using the Hirota direct method: Novel insights into nonlinear evolution equations

AKMKS Hossain, MA Akbar - Partial Differential Equations in Applied …, 2023 - Elsevier
Recently, mathematicians, engineers, and scientists have explored the unique
characteristics and potential applications of multi-solitons, which is an expanding domain of …

Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system

D Lu, AR Seadawy, M Khater - Advances in Difference Equations, 2018 - Springer
The analytical and solitary traveling solutions of the nonlinear complex fractional
generalized Zakharov equations are investigated. The nonlinear complex fractional …

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 …

Exact solutions of the nonlinear modified Benjamin-Bona-Mahony equation by an analytical method

T Alotaibi, A Althobaiti - Fractal and Fractional, 2022 - mdpi.com
The current manuscript investigates the exact solutions of the modified Benjamin-Bona-
Mahony (BBM) equation. Due to its efficiency and simplicity, the modified auxiliary equation …

Soliton solutions of nonlinear Boussinesq models using the exponential function technique

S Javeed, D Baleanu, S Nawaz, H Rezazadeh - Physica Scripta, 2021 - iopscience.iop.org
This paper deals with the new analytical solutions of conformable nonlinear Boussinesq
equations. Boussinesq equation is one of the important equation in the field of applied …

Exact traveling wave solutions for the generalized Hirota-Satsuma couple KdV system using the exp (− φ (ξ))-expansion method

MMA Khater - Cogent Mathematics, 2016 - Taylor & Francis
In this research, we find the exact traveling wave solutions involving parameters of the
generalized Hirota-Satsuma couple KdV system according to the exp (-φ (ξ))-expansion …

[HTML][HTML] Closed form solutions for coupled nonlinear Maccari system

M Shakeel, ST Mohyud-Din, MA Iqbal - Computers & Mathematics with …, 2018 - Elsevier
The exploration of closed form solutions for nonlinear partial differential equations (NLPDEs)
is being an attractive subject in the different branches of mathematical and physical …

[PDF][PDF] Solitary wave solutions of few nonlinear evolution equations

A Hossain, MA Akbar - AIMS Mathematics, 2020 - researchgate.net
Solitary wave solutions of few nonlinear evolution equations Page 1 AIMS Mathematics, 5(2):
1199–1215. DOI: 10.3934/math.2020083 Received: 08 October 2019 Accepted: 05 January …