Explicit soliton structure formation for the riemann wave equation and a sensitive demonstration

SZ Majid, WA Faridi, MI Asjad, M Abd El-Rahman… - Fractal and …, 2023 - mdpi.com
The motive of the study was to explore the nonlinear Riemann wave equation, which
describes the tsunami and tidal waves in the sea and homogeneous and stationary media …

Optical solitons in metamaterials with third and fourth order dispersions

T Mathanaranjan, D Kumar, H Rezazadeh… - Optical and Quantum …, 2022 - Springer
The propagation of optical solitons via nonlinear metamaterials with cubic-quintic
nonlinearity, detuning intermodal dispersion, self steepening effect, and nonlinear third and …

[HTML][HTML] Evaluation of the performance of fractional evolution equations based on fractional operators and sensitivity assessment

RU Rahman, MMM Qousini, A Alshehri, SM Eldin… - Results in Physics, 2023 - Elsevier
In this article, the nonlinear fractional Kudryashov's equation and the space–time fractional
nonlinear Tzitzeica–Dodd–Bullough (TDB) equation are solved using the new auxiliary …

New optical solitons based on the perturbed Chen-Lee-Liu model through Jacobi elliptic function method

S Tarla, KK Ali, R Yilmazer, MS Osman - Optical and Quantum Electronics, 2022 - Springer
In this study, we investigate the perturbed Chen-Lee-Liu equation that represents the
propagation of an optical pulse in plasma and optical fiber. The Jacobi elliptic function …

Interaction properties between rogue wave and breathers to the manakov system arising from stationary self-focusing electromagnetic systems

BQ Li, YL Ma - Chaos, Solitons & Fractals, 2022 - Elsevier
Multi-wave interaction is an important research field in nonlinear science. In this work, we
investigate the multiple wave interaction properties to the Manakov system which can model …

The modulation instability analysis and generalized fractional propagating patterns of the Peyrard–Bishop DNA dynamical equation

MI Asjad, WA Faridi, SE Alhazmi… - Optical and Quantum …, 2023 - Springer
This research examines the fractional Peyrard–Bishop DNA dynamical governing system,
which displays the proliferation of optical pulses in field of plasma and the optical fibre. The …

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 …

Soliton solutions for the time-fractional nonlinear differential-difference equation with conformable derivatives in the ferroelectric materials

Y Asghari, M Eslami, H Rezazadeh - Optical and Quantum Electronics, 2023 - Springer
The ultimate focus of this research is to provide soliton solutions to the nonlinear differential-
difference equations via conformable fractional derivatives which arise from the polarization …

[HTML][HTML] New soliton solutions for the space-time fractional modified third order Korteweg–de Vries equation

HU Rehman, M Inc, MI Asjad, A Habib… - Journal of Ocean …, 2022 - Elsevier
In present research work, the soliton solutions of the space-time fractional modified third
order Korteweg–de Vries (KdV) equation are explored by Sardar-subequation method …

[HTML][HTML] Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysis

NT Alqurashi, M Manzoor, SZ Majid, MI Asjad… - Results in Physics, 2023 - Elsevier
The objective of this research is to investigate the nonlinear Landau–Ginzburg–Higgs
equation, which characterizes nonlinear solitary waves exhibiting distant and feeble …