Computational and numerical wave solutions of the Caudrey–Dodd–Gibbon equation

MMA Khater - Heliyon, 2023 - cell.com
Abstract The Caudrey–Dodd–Gibbon (CDG) model, a variation of the fifth–order KdV
equation (fKdV) with significant practical consequences, is solved in this study using a …

In surface tension; gravity-capillary, magneto-acoustic, and shallow water waves' propagation

MMA Khater - The European Physical Journal Plus, 2023 - Springer
The current work attempts to apply an accurate and numerical strategy to obtain analytical
and approximation soliton solutions to a significant version of the fifth-order KdV equation …

[HTML][HTML] Analysis of new soliton type solutions to generalized extended (2+ 1)-dimensional Kadomtsev-Petviashvili equation via two techniques

J Ahmad, S Akram, A Ali - Ain Shams Engineering Journal, 2024 - Elsevier
In this paper, we examine the solitary wave solutions of the generalised (2+ 1) extended
Kadomtsev–Petviashvili (eKP) equation, which is used as model for the surface waves and …

Retrieval of optical solitons in fiber Bragg gratings for high-order coupled system with arbitrary refractive index

AS Khalifa, NM Badra, HM Ahmed, WB Rabie - Optik, 2023 - Elsevier
With the rapid development of communication technology, fiber Bragg gratings are used in
all optical communication systems. Bragg gratings are a technological spectacle that …

Exploration new solitons in fiber Bragg gratings with cubic–quartic dispersive reflectivity using improved modified extended tanh-function method

MS Ahmed, AAS Zaghrout, HM Ahmed - The European Physical Journal …, 2023 - Springer
Our paper studies the optical solitons of the fiber Bragg gratings with cubic–quartic
dispersive reflectivity having parabolic law and parabolic-nonlocal-combo law. By using the …

New exact optical solutions for the Lakshmanan–Porsezian–Daniel equation with parabolic law nonlinearity using the -expansion technique

NI Okposo, K Raghavendar, N Khan… - Nonlinear …, 2025 - Springer
In this study, we investigate new optical soliton solutions for the Lakshmanan–Porsezian–
Daniel (LPD) equation incorporating group velocity dispersion (GVD), spatio-temporal …

Stability analysis and some exact solutions of a particular equation from a family of a nonlinear Schrödinger equation with unrestricted dispersion and polynomial …

S Ahmad, A Hameed, S Ahmad, A Ullah… - Optical and Quantum …, 2023 - Springer
The paper presents the extraction of optical solitons for a nonlinear Schrödinger equation
(SE) utilizing the Sine-Cosine expansion technique. Moreover, the model's solitary wave …

Optical solitons of higher order mathematical model with refractive index using Kudryashov method

AM Elsherbeny, NM Elsonbaty, NM Badra… - Optical and Quantum …, 2024 - Springer
Studying the highly dispersive model with arbitrary refractive index initiated by Kudryashov
is the subject of this work. This model depicts the behavior of soliton propagation via …

Exploring the solitons for multiple-core couplers having optical metamaterials using the modified extended direct algebraic method

HA Eldidamony, HM Ahmed, AS Zaghrout, YS Ali… - Optik, 2022 - Elsevier
This paper investigates the optical solitons for the cubic–quartic (CQ) multiple-core couplers
with optical metamaterials having Kudryashov's sextic power law of arbitrary refractive index …

Construction of solitary wave solutions of bi-harmonic coupled Schrödinger system through -methodology

MS Iqbal, MS Hashemi, R Naeem, MA Tarar… - Optical and Quantum …, 2023 - Springer
The existence of solutions of coupled system of bi-harmonic Schrödinger equations as fixed
point of an operator has been given in this article. The corresponding estimates for the …