Wave structures and the chaotic behaviors of the cubic-quartic nonlinear Schrödinger equation for parabolic law in birefringent fibers

Y Li, Y Kai - Nonlinear Dynamics, 2023 - Springer
In this paper, we study the cubic-quartic nonlinear Schrödinger equation for the parabolic
law through birefringent fibers by the complete discrimination system for polynomial method …

[HTML][HTML] New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G, 1/G-expansion method

MA Iqbal, D Baleanu, MM Miah, HMS Ali, HM Alshehri… - Results in Physics, 2023 - Elsevier
In the electrical transmission lines, the processing of cable signals distribution, computer
networks, high-speed computer databases and discrete networks can be investigated by the …

Optical soliton solutions to the Fokas–Lenells model applying the φ 6-model expansion approach

MS Ullah, AR Seadawy, MZ Ali - Optical and Quantum Electronics, 2023 - Springer
The φ 6-model expansion approach is presented to achieve optical soliton solutions for the
Fokas-Lenells model. We apply a variable relation to translate the model's partial differential …

A Comparative Analysis of the Fractional‐Order Coupled Korteweg–De Vries Equations with the Mittag–Leffler Law

NH Aljahdaly, A Akgül, R Shah, I Mahariq… - Journal of …, 2022 - Wiley Online Library
This article applies efficient methods, namely, modified decomposition method and new
iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries …

On the analytical approximations to the nonplanar damped Kawahara equation: Cnoidal and solitary waves and their energy

SA El-Tantawy, LS El-Sherif, AM Bakry, W Alhejaili… - Physics of …, 2022 - pubs.aip.org
In this work, the non-integrable nonplanar (cylindrical and spherical) damped Kawahara
equation (ndKE) is solved and analyzed analytically. The ansatz method is implemented for …

Chirped optical solitons and stability analysis of the nonlinear Schrödinger equation with nonlinear chromatic dispersion

T Mathanaranjan, MS Hashemi… - Communications in …, 2023 - iopscience.iop.org
The present paper aims to investigate the chirped optical soliton solutions of the nonlinear
Schrödinger equation with nonlinear chromatic dispersion and quadratic-cubic law of …

A variety of optical soliton solutions for the M-truncated Paraxial wave equation using Sardar-subequation technique

T Rasool, R Hussain, MA Al Sharif, W Mahmoud… - Optical and Quantum …, 2023 - Springer
To generate different optical soliton solutions of the Paraxial wave equation with fractional
time dependence, a well-known Sardar-subequation technique is used. The M-truncated …

[HTML][HTML] Analytical solutions of conformable Drinfel'd–Sokolov–Wilson and Boiti Leon Pempinelli equations via sine–cosine method

SW Yao, S Behera, M Inc, H Rezazadeh, JPS Virdi… - Results in Physics, 2022 - Elsevier
In this paper, we studied the Drinfel'd–Sokolov–Wilson equation (DSWE) and Boiti Leon
Pempinelli equation (BLPE) in the conformable sense. The sine–cosine method is utilized to …

Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line

MA Chowdhury, MM Miah, MA Iqbal… - The European Physical …, 2023 - Springer
In this study, the double (G′/G, 1/G)-expansion method is utilized for illustrating the
improved explicit integral solutions for the two of nonlinear evolution equations. To expose …

An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method

S Rashid, KT Kubra, S Sultana, P Agarwal… - … of Computational and …, 2022 - Elsevier
This article offers a well-organized and novel algorithm for solving time-fractional Fornberg–
Whitham, Klein–Gordon equation and biological population models occurring from physics …