Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique

W Gao, H Rezazadeh, Z Pinar, HM Baskonus… - Optical and Quantum …, 2020 - Springer
This paper presents an analytical solver which is known as a generalization of types
methodologies. With the proposed method, one of the old but at the same time popular …

[HTML][HTML] Similarity solutions of a generalized inhomogeneous-nonautonomous (2+ 1)-dimensional Konopelchenko–Dubrovsky equation. Stability analysis

HI Abdel-Gawad, M Tantawy… - Alexandria Engineering …, 2022 - Elsevier
Abstract The (2+ 1) dimensional Konopelchenko–Dubrovsky equation (2D-KDE) is an
integro differential equation which describes two-layer fluid in shallow water near ocean …

[HTML][HTML] Solutions to the Konopelchenko-Dubrovsky equation and the Landau-Ginzburg-Higgs equation via the generalized Kudryashov technique

HK Barman, MA Akbar, MS Osman, KS Nisar… - Results in Physics, 2021 - Elsevier
Abstract The (2+ 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-
Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long …

[HTML][HTML] Wave profile analysis of the (2+ 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physics

SMY Arafat, MM Rahman, MF Karim… - … Differential Equations in …, 2023 - Elsevier
Abstract The (2+ 1)-dimensional Konopelchenko-Dubrovsky (KD) model and the modified
version of the new Kudryashov (MVNK) technique are chosen in the current research to …

[HTML][HTML] Qualitative analysis and wave propagation for Konopelchenko-Dubrovsky equation

MM El-Dessoky, A Elmandouh - Alexandria Engineering Journal, 2023 - Elsevier
We are interested in studying some qualitative analysis and wave propagation and their
applications to the Konopelchenko-Dubrovsky equation. Using the qualitative theory of …

On the complex simulations with dark–bright to the Hirota–Maccari system

G Yel, C Cattani, HM Baskonus… - Journal of …, 2021 - asmedigitalcollection.asme.org
This paper investigates the coupled nonlinear Hirota–Maccari system with the help of using
an analytical approach, which is the extended sinh-Gordon equation expansion method …

Stable wave solutions to the Landau-Ginzburg-Higgs equation and the modified equal width wave equation using the IBSEF method

ME Islam, MA Akbar - Arab Journal of Basic and Applied Sciences, 2020 - Taylor & Francis
Abstract The Landau-Ginzburg-Higgs equation and the modified equal width wave equation
(MEWE) underscore to describe superconductivity and unidirectional wave propagation in …

New exact solutions for generalized (3+ 1) shallow water-like (SWL) equation

F Dusunceli - Applied Mathematics and Nonlinear Sciences, 2019 - sciendo.com
In this study, we use the improved Bernoulli sub-equation function method for exact
solutions to the generalized (3+ 1) shallow water-like (SWL) equation. Some new solutions …

New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method

F Dusunceli, E Celik, M Askin, H Bulut - Indian Journal of Physics, 2021 - Springer
In this study, the doubly dispersive equation is presented by the application of the improved
Bernoulli sub-equation function method (IBSEFM). The doubly dispersive equation which is …

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 …