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 …

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 …

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 …

Multiwaves, breathers, lump and other solutions for the Heimburg model in biomembranes and nerves

DU Ozsahin, B Ceesay, MZ Baber, N Ahmed… - Scientific Reports, 2024 - nature.com
In this manuscript, a mathematical model known as the Heimburg model is investigated
analytically to get the soliton solutions. Both biomembranes and nerves can be studied …

A comparative study of two fractional nonlinear optical model via modified G′ G 2-expansion method

A Saboor, M Shakeel, X Liu, A Zafar… - Optical and Quantum …, 2024 - Springer
This article reveals the different types of optical solitons of non-linear coupled Riemann
wave equation and Wazwaz Kaur Boussinesq equation. We adopted a direct integration …

The analytical study of soliton dynamics in fractional coupled Higgs system using the generalized Khater method

R Ali, Z Zhang, H Ahmad, MM Alam - Optical and Quantum Electronics, 2024 - Springer
This study introduces the generalized Khater Method (gKM) as a tool for investigating the
existence and dynamics of soliton solutions within the realm of the Fractional Coupled Higgs …

An enormous diversity of fractional-soliton solutions with sensitive prodigy to the –Dodd–Bullough equation

H Ahmad, M Qousini, RU Rahman - Optical and Quantum Electronics, 2024 - Springer
The central objective of this study is to explore the dynamic response of fractional-soliton
solutions within a nonlinear T zitze´ ica–Dodd–Bullough (TDB) equation enhancing the long …

On the study of bright, dark and optical wave structures for the coupled fractional nonlinear Schrödinger equations in plasma physics

F Badshah, KU Tariq, M Inc, M Aslam… - Optical and Quantum …, 2023 - Springer
The nonlinear Schrödinger equation (NLSE), one of the most fundamental physical models
for understanding the fluctuations of optical soliton development, plays a significant role to …

A variety of optical wave solutions to space–time fractional perturbed Kundu–Eckhaus model with full non-linearity

A Zafar, M Raheel, KU Tariq, AM Mahnashi… - Optical and Quantum …, 2024 - Springer
In this paper, the new optical wave solutions of truncated M-fractional perturbed Kundu–
Eckhaus model with full non-linearity are obtained by utilizing the exp a function technique …

The fractional soliton solutions of the dynamical system of equations for ion sound and Langmuir waves: a comparative analysis

WA Faridi, A Jhangeer, MB Riaz, MI Asjad… - Scientific Reports, 2024 - nature.com
In light of the ponderomotive force, this article focuses on establishing the exact wave
structures of the ion sound system. It is the result of non-linear force and affects a charged …