@article{Ullah2025, 
author = {Ikram Ullah and Muhammad Bilal and Javed Iqbal and Hasan Bulut and Funda Turk},
title = {Single wave solutions of the fractional Landau-Ginzburg-Higgs equation in space-time with accuracy via the beta derivative and mEDAM approach},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {1},
pages = {672-693},
keywords = {soliton solutions, modified extended direct algebraic method, beta derivative, space-time fractional Landau-Ginzburg-Higgs equation},
url = {https://www.sciopen.com/article/10.3934/math.2025030},
doi = {10.3934/math.2025030},
abstract = {The nonlinear wave behavior in the tropical and mid-latitude troposphere has been simulated using the space-time fractional Landau-Ginzburg-Higgs model. These waves are the consequence of interactions between equatorial and mid-latitude waves, fluid flow in dynamic systems, weak scattering, and extended linkages. The mEDAM method has been used to obtain new and extended closed-form solitary wave solutions of the previously published nonlinear fractional partial differential equation via the beta derivative. A wave transformation converts the fractional-order equation into an ordinary differential equation. Several soliton, single, kink, double, triple, anti-kink, and other soliton types are examples of known conventional wave shapes. The answers are displayed using the latest Python code, which enhances the usage of 2D and 3D plotlines, as well as contour plotlines, to emphasise the tangible utility of the solutions. The results of the study are clear, flexible, and easier to replicate.}
}