Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study

WA Faridi, GH Tipu, Z Myrzakulova… - Optical and Quantum …, 2024 - Springer
This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …

[HTML][HTML] Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equations

UHM Zaman, MA Arefin, MA Akbar… - … Differential Equations in …, 2023 - Elsevier
In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum
mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many …

Construction of diverse water wave structures for coupled nonlinear fractional Drinfel'd-Sokolov-Wilson model with Beta derivative and its modulus instability

M Shakeel, SA AlQahtani, MJU Rehman, G Kudra… - Scientific Reports, 2023 - nature.com
This paper aims to analyze the coupled nonlinear fractional Drinfel'd-Sokolov-Wilson
(FDSW) model with beta derivative. The nonlinear FDSW equation plays an important role in …

Study the dynamic behavior of bifurcation, chaos, time series analysis and soliton solutions to a Hirota model

S Javed, A Ali, J Ahmad, R Hussain - Optical and Quantum Electronics, 2023 - Springer
The unified technique is a direct method that is employed in this study to extract a wide
range of accurate solutions of the (2+ 1)-dimensional Hirota model. The governing model is …

[HTML][HTML] Solitary wave solution to the space–time fractional modified Equal Width equation in plasma and optical fiber systems

UHM Zaman, MA Arefin, MA Akbar, MH Uddin - Results in Physics, 2023 - Elsevier
Nonlinear fractional evolution equations play a crucial role in characterizing assorted
complex nonlinear phenomena observed in different scientific fields, including plasma …

Additional solitonic and other analytical solutions for the higher-order Boussinesq-Burgers equation

AM Mubaraki, RI Nuruddeen, KK Ali… - Optical and Quantum …, 2024 - Springer
Due to the lack of abundant literature with regard to the exact analytical solutions for the new
higher-order Boussinesq-Burgers equations (HOBBE); of course, with the exception of a few …

Dynamics study of stability analysis, sensitivity insights and precise soliton solutions of the nonlinear (STO)-Burger equation

E Hussain, Z Li, SAA Shah, EA Az-Zo'bi… - Optical and Quantum …, 2023 - Springer
The purpose of this manuscript is to investigate the precise soliton solution of the (1+ 1)-
dimensional Sharma–Tasso–Olver–Burgers equation. This study thoroughly explores the …

Explore dynamical soliton propagation to the fractional order nonlinear evolution equation in optical fiber systems

UHM Zaman, MA Arefin, MA Akbar… - Optical and Quantum …, 2023 - Springer
This research opts to construct some innovative and further general solutions of nonlinear
traveling waves to the time fractional Gardner and Sharma-Tasso-Olver equations, which …

[HTML][HTML] Existence and uniqueness solution analysis of time-fractional unstable nonlinear Schrödinger equation

MA Khatun, MA Arefin, MA Akbar, MH Uddin - Results in Physics, 2024 - Elsevier
The time-fractional unstable nonlinear Schrödinger (NLS) equations capture the time
evolution of disturbances within media, tailored for describing phenomena in unstable …

The closed-form solution by the exponential rational function method for the nonlinear variable-order fractional differential equations

MM ALBaidani, U Ali, AH Ganie - Frontiers in Physics, 2024 - frontiersin.org
The symmetry features of fractional differential equations allow effective explanation of
physical and biological phenomena in nature. The generalized form of the fractional …