Generating new symmetric bi-peakon and singular bi-periodic profile solutions to the generalized doubly dispersive equation

M Alquran, T Al Smadi - Optical and Quantum Electronics, 2023 - Springer
This work aims to explore new bidirectional-wave solutions to the generalized doubly
dispersive equation through the use of two effective integration schemes: the modified …

Simulation studies on the dissipative modified Kawahara solitons in a complex plasma

SME Ismaeel, AM Wazwaz, E Tag-Eldin… - Symmetry, 2022 - mdpi.com
In this work, a damped modified Kawahara equation (mKE) with cubic nonlinearity and two
dispersion terms including the third-and fifth-order derivatives is analyzed. We employ an …

[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 …

Some optical soliton solutions with bifurcation analysis of the paraxial nonlinear Schrödinger equation

SMR Islam, SMY Arafat, H Alotaibi, M Inc - Optical and Quantum …, 2024 - Springer
The paraxial nonlinear Schrödinger equation finds diverse applications in the fields of
nonlinear optics, optical communication systems, plasma physics, and mathematical …

[PDF][PDF] Exploring novel optical soliton solutions for the 5 stochastic chiral nonlinear Schrödinger equation: 6 Stability analysis and impact of parameters 7

SMR Islam, SMY Arafat - 2024 - researchgate.net
The primary aim of this investigation is to uncover novel optical soliton solutions (OSSs) 26
and conduct a comprehensive stability analysis of a particular model. The extraction of 27 …

Stability analysis, phase plane analysis, and isolated soliton solution to the LGH equation in mathematical physics

SMR Islam, H Ahmad, K Khan, H Wang, MA Akbar… - Open Physics, 2023 - degruyter.com
In this article, we investigated the Landau–Ginzburg–Higgs (LGH) equation, focusing on the
analysis of isolated soliton solutions and their stability. To compute the isolated soliton …

Nonlinear dynamic wave properties of travelling wave solutions in in (3+1)-dimensional mKdVZK model

SMY Arafat, M Asif, MM Rahman - PLos One, 2025 - journals.plos.org
The (3+ 1)-dimensional mKdV− ZK model is an important framework for studying the
dynamic behavior of waves in mathematical physics. The goal of this study is to look into …

Novel exact solutions to a coupled Schrödinger–KdV equations in the interactions of capillary–gravity waves

MS Hashemi, AM Wazwaz - Optical and Quantum Electronics, 2023 - Springer
This paper explores the interactions of capillary–gravity waves by presenting novel exact
solutions to a coupled Schrödinger–KdV equation. The authors introduce a reduction …

Abundant new optical solitary waves of paraxial wave dynamical model with kerr media via new extended direct algebraic method

S Yasin, MA Khan, S Ahmad, SF Aldosary - Optical and Quantum …, 2024 - Springer
The new extended direct algebraic technique (EDAT) is used to investigate the rational, and
soliton solution for time dependent dimension-less paraxial wave model. The wave solutions …