Harmonizing wave solutions to the Fokas-Lenells model through the generalized Kudryashov method

HK Barman, R Roy, F Mahmud, MA Akbar, MS Osman - Optik, 2021 - Elsevier
In this article, the closed form general and standard solutions accessible in the literature of
nonlinear evolution equation (NLEE), namely, the Fokas-Lenells (FL) equation is …

[HTML][HTML] New exact traveling wave solutions of the (4+ 1)-dimensional Fokas equation

MO Al-Amr, S El-Ganaini - Computers & Mathematics with Applications, 2017 - Elsevier
In this paper, two distinct methods are applied to look for exact traveling wave solutions of
the (4+ 1)-dimensional nonlinear Fokas equation, namely the modified simple equation …

[HTML][HTML] New soliton wave structures of nonlinear (4+ 1)-dimensional Fokas dynamical model by using different methods

S Sarwar - Alexandria Engineering Journal, 2021 - Elsevier
Abstract The physics of the (4+ 1)-dimensional Fokas equation follows necessarily from the
physical nature of the Kadomtsev–Petviashvili and Davey-Stewartson equations in wave …

Closed form wave profiles of the coupled-Higgs equation via the -model expansion method

KK Ali, S Tarla, A Yusuf, R Yilmazer - International Journal of …, 2023 - World Scientific
The coupled-Higgs equation, which depicts a system of preserved scalar nucleons
cooperating with unbiased scalar mesons, is investigated using the ϕ 6-model expansion …

Search for interactions of phenomena described by the coupled Higgs field equation through analytical solutions

ME Islam, HK Barman, MA Akbar - Optical and Quantum Electronics, 2020 - Springer
The coupled Higgs field equation is significant for describing a system of conserved scalar
nucleons interacting with the neutral scalar meson. The improved Bernoulli sub-equation …

Bifurcation of new optical solitary wave solutions for the nonlinear long-short wave interaction system via two improved models of expansion method

MMA Khater, MA Akbar, L Akinyemi, A Jhangeer… - Optical and Quantum …, 2021 - Springer
This study performs two recent methods on the nonlinear long-short wave interaction system
(NLSWIS) to obtain novel formulas of solitary solutions representing an optical field that …

New exact solutions of the conformable space-time Sharma–Tasso–Olver equation using two reliable methods

S Sirisubtawee, S Koonprasert, S Sungnul - Symmetry, 2020 - mdpi.com
The major purpose of this article is to seek for exact traveling wave solutions of the nonlinear
space-time Sharma–Tasso–Olver equation in the sense of conformable derivatives. The …

Multi-wave, homoclinic breather, M-shaped rational and other solitary wave solutions for coupled-Higgs equation

STR Rizvi, AR Seadawy, MA Ashraf, A Bashir… - The European Physical …, 2021 - Springer
In this article, we construct multi-wave, homoclinic breather, M-shaped rational and periodic
cross kink wave solutions for coupled-Higgs equation (CHE) by using distinct …

[HTML][HTML] An analytical method for solving exact solutions of a nonlinear evolution equation describing the dynamics of ionic currents along microtubules

MN Alam, MM Alam - Journal of Taibah University for Science, 2017 - Elsevier
In this article, a variety of solitary wave solutions are observed for microtubules (MTs). We
approach the problem by treating the solutions as nonlinear RLC transmission lines and …

Microtubules nonlinear models dynamics investigations through the exp (− φ (ξ))-expansion method implementation

N Alam, FBM Belgacem - Mathematics, 2016 - mdpi.com
In this research article, we present exact solutions with parameters for two nonlinear model
partial differential equations (PDEs) describing microtubules, by implementing the exp (− Φ …