[HTML][HTML] On nonlinear optical solitons of fractional Biswas-Arshed Model with beta derivative

SMY Arafat, SMR Islam, MM Rahman, MA Saklayen - Results in Physics, 2023 - Elsevier
Abstract The Biswas-Arshed (BA) model is an essential wave propagation model in
nonlinear optics and optical fibers. In this manuscript, the enhanced G′/G-expansion …

[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] Dynamic behavior of optical self-control soliton in a liquid crystal model

MA Mannaf, ME Islam, H Bashar, US Basak, MA Akbar - Results in Physics, 2024 - Elsevier
Abstract The Paraxial Model, a foundational concept in optics, provides a simplified yet
effective approach to understanding the behavior of light in optical systems. This research …

[HTML][HTML] Some analytical soliton solutions of the nonlinear evolution equations

SMR Islam, H Wang - Journal of Ocean Engineering and Science, 2022 - Elsevier
Abstract In our manuscript, the (2+ 1)-dimensional Zakharov-Kuznetsov modified equal
width (ZK-MEW) and couple breaking soliton (BS) equations are considered and …

A novel scheme for SMCH equation with two different approaches

A Akbulut, R Islam, Y Arafat… - … Methods for Differential …, 2023 - cmde.tabrizu.ac.ir
In this study, the unified and improved F-expansion methods are applied to derive exact
traveling wave solutions of the simplified modified Camassa-Holm (SMCH) equation. The …

[HTML][HTML] Extraction of some optical solutions to the (2+ 1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approaches

MH Bashar, SMY Arafat, SMR Islam, S Islam… - … Differential Equations in …, 2022 - Elsevier
Abstract The Kundu–Mukherjee–Naskar (KMN) model is considered for describing the pulse
propagation in optical fibres and communication systems. Two efficient approaches via the …

Stability analysis and soliton solutions of truncated M-fractional Heisenberg ferromagnetic spin chain model via two analytical methods

J Ahmad, K Noor, S Anwar, S Akram - Optical and Quantum Electronics, 2024 - Springer
This study is devoted to investigating the soliton solutions of the (2+ 1) dimensional
truncated M-fractional Heisenberg ferromagnetic spin chain model. The model has …

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 …

Application of the generalized unified method to solve (2+ 1)-dimensional Kundu–Mukherjee–Naskar equation

T Aydemir - Optical and Quantum Electronics, 2023 - Springer
The purpose of this study is to introduce a new extension method named the generalized
unified method (GUM) and apply this method to the the (2+ 1) dimensional Kundu …

[HTML][HTML] Investigation of complex hyperbolic and periodic wave structures to a new form of the q-deformed sinh-Gordon equation with fractional temporal evolution

AH Abdel-Aty, S Arshed, N Raza, TA Alrebdi, KS Nisar… - AIP Advances, 2024 - pubs.aip.org
This paper presents the fractional generalized q-deformed sinh-Gordon equation. The
fractional effects of the temporal derivative of the proposed model are studied using a …