Exact optical solitons in metamaterials with anti-cubic law of nonlinearity by Lie group method

AH Abdel Kader, MS Abdel Latif, Q Zhou - Optical and Quantum …, 2019 - Springer
In this paper, using Lie point symmetry analysis, we study the dynamics of the solitons for the
nonlinear Schrodinger's equation with anti-cubic nonlinearity. Some new doubly periodic …

Bright, dark and kink exact soliton solutions for perturbed Gerdjikov–Ivanov equation with full nonlinearity

SE Farahat, ESEL Shazly, IL El-Kalla, AHA Kader - Optik, 2023 - Elsevier
In this paper, the perturbed Gerdjikov-Ivanov equation (PGI) which describes the dynamics
of the soliton in optical fiber is investigated. Using traveling wave transformation, the …

New soliton solutions of the CH–DP equation using lie symmetry method

AH Abdel Kader, MS Abdel Latif - Modern Physics Letters B, 2018 - World Scientific
In this paper, using Lie symmetry method, we obtain some new exact traveling wave
solutions of the Camassa–Holm–Degasperis–Procesi (CH–DP) equation. Some new bright …

Symmetry analysis and some new exact solutions of some nonlinear KdV-like equations

AH Abdel Kader, MS Abdel Latif, F El Bialy… - … -European Journal of …, 2018 - World Scientific
Symmetry analysis and some new exact solutions of some nonlinear KdV-like equations
Page 1 Asian-European Journal of Mathematics Vol. 11, No. 3 (2018) 1850040 (12 pages) c© …

Kink wave, dark and bright soliton solutions for complex Ginzburg–Landau equation using Lie symmetry method

H Elzehri, AHA Kader, MSA Latif - Optik, 2021 - Elsevier
In this paper, using Lie symmetry method, some new soliton and doubly periodic solutions of
the complex Ginzburg–Landau equation (CGLE) with two forms of nonlinearity are obtained …

Optimum design and performance analyses of convective‐radiative cooling fin under the influence of magnetic field using finite element method

MG Sobamowo - Journal of Optimization, 2019 - Wiley Online Library
In this study, the optimum design dimensions and performance analyses of convective‐
radiative cooling fin subjected to magnetic field are presented using finite element method …

[PDF][PDF] Nonlinear numerical analysis of convective-radiative fin using MLPG method

R Garg, H Thakur, B Tripathi - International journal of heat and …, 2017 - academia.edu
ABSTRACT A mathematical model describing nonlinear and transient heat transfer through
a straight insulated tip fin with temperature-dependent heat transfer coefficient has been …

[HTML][HTML] Implementation of two variable expansion method for extended Jimbo–Miwa equations

S Kara, Ö Ünsal - Journal of Ocean Engineering and Science, 2022 - Elsevier
Under study in this paper, we search new class of analytical solutions of (3+ 1)-dimensional
extended Jimbo–Miwa equations which are derived by adding some extra terms to …

New exact nematicon solutions of liquid crystal model with different types of nonlinearities

R Ramaswamy, AHA Kader, A Elsonbaty - IEEE Access, 2021 - ieeexplore.ieee.org
The aim of this work is to explore and find new closed-form nematicon solutions for different
nonlinearities which occur in nematic liquid crystals (NLC) along with proposing optical …

[PDF][PDF] Revision on Symmetry in Thermal Fluid Sciences and Energy Applications

NR Caetano - 2024 - preprints.org
Symmetry is a fundamental notion in thermal-fluid sciences and energy applications and an
important tool for understanding the properties of complex systems. Thermal and fluid …