Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique

W Gao, H Rezazadeh, Z Pinar, HM Baskonus… - Optical and Quantum …, 2020 - Springer
This paper presents an analytical solver which is known as a generalization of types
methodologies. With the proposed method, one of the old but at the same time popular …

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 …

On the analytical and numerical approximations to the forced damped Gardner Kawahara equation and modeling the nonlinear structures in a collisional plasma

HA Alyousef, AH Salas, RT Matoog, SA El-Tantawy - Physics of Fluids, 2022 - pubs.aip.org
We perform a detailed study on the completely non-integrable forced damped
Gardner/Extended Kawahara equation (FDEKE). Three techniques are introduced to …

Novel analytical approximations to the nonplanar Kawahara equation and its plasma applications

MR Alharthi, RA Alharbey, SA El-Tantawy - The European Physical …, 2022 - Springer
In this paper, some novel analytical approximations to a completely non-integrable
nonplanar (cylindrical and spherical) Kawahara equation (nKE) are derived. Using the …

Generalized logistic equation method for Kerr law and dual power law Schrödinger equations

Z Pinar, H Rezazadeh, M Eslami - Optical and Quantum Electronics, 2020 - Springer
The Kerr law and dual power law Schrödinger equations for obtaining optical soliton
solutions are studied. In this paper, we investigate these equations via generalized logistic …

Novel exact and approximate solutions to the family of the forced damped Kawahara equation and modeling strong nonlinear waves in a plasma

SA El-Tantawy, AH Salas, HA Alyousef… - Chinese Journal of …, 2022 - Elsevier
In this investigation, a set of novel exact and approximate analytic solutions to the family of
the forced damped Kawahara equation (KE) are derived in detail. This work is divided into …

Novel approximate analytical solutions to the nonplanar modified Kawahara equation and modeling nonlinear structures in electronegative plasmas

RA Alharbey, WR Alrefae, H Malaikah, E Tag-Eldin… - Symmetry, 2022 - mdpi.com
In this investigation, the nonplanar (spherical and cylindrical) modified fifth-order Korteweg–
de Vries (nmKdV5) equation, otherwise known as the nonplanar modified Kawahara …

Novel analytical cnoidal and solitary wave solutions of the Extended Kawahara equation

SA El-Tantawy, AH Salas, MR Alharthi - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, some novel analytic traveling wave solutions including the cnoidal and solitary
wave solutions of the planar Extended Kawahara equation are deduced. Four different …

New Periodic and Localized Traveling Wave Solutions to a Kawahara‐Type Equation: Applications to Plasma Physics

HA Alyousef, AH Salas, MR Alharthi… - …, 2022 - Wiley Online Library
In this study, some new hypotheses and techniques are presented to obtain some new
analytical solutions (localized and periodic solutions) to the generalized Kawahara equation …

On the dissipative extended Kawahara solitons and cnoidal waves in a collisional plasma: Novel analytical and numerical solutions

SA El-Tantawy, AH Salas, MR Alharthi - Physics of Fluids, 2021 - pubs.aip.org
Two novel analytical solutions to the damped Gardner Kawahara equation and its related
equations are reported. Using a suitable ansatz and with the help of the exact solutions of …