Results 11 to 20 of about 1,533 (240)

Soliton Solutions and Other Solutions for Kundu–Eckhaus Equation with Quintic Nonlinearity and Raman Effect Using the Improved Modified Extended Tanh-Function Method [PDF]

Mathematics, 2022
Our paper studies the optical solitons for the Kundu–Eckhaus (KE) equation with quintic nonlinearity and Raman effect. By applying the improved modified extended tanh-function method, many soliton solutions can be obtained such as bright soliton ...
Karim K. Ahmed, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie   +3 more
doaj   +2 more sources

Two New Applications of the Modified Extended Tanh-Function Method [PDF]

Zeitschrift für Naturforschung A, 2003
Based on a modified extended tanh-function method and symbolic computation, new exact solutions are found for a soliton breaking equation and coupled kdv system. The obtained solutions include rational, soliton, singular and periodical solutions.
S.A. El-Wakil, S. K. El-Labany, M. A. Zahran, R. Sabry   +3 more
openalex   +2 more sources

An Improved Modified Extended tanh-Function Method [PDF]

Zeitschrift für Naturforschung A, 2006
In this paper we further improve the modified extended tanh-function method to obtain new exact solutions for nonlinear partial differential equations. Numerical applications of the proposed method are verified by solving the improved Boussinesq equation and the system of variant Boussinesq equations. The new exact solutions for these equations include
Zonghang Yang, Y.C. Hon
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Modified extended tanh-function method and nonlinear dynamics of microtubules [PDF]

Chaos, Solitons & Fractals, 2012
20 pages, 6 ...
Slobodan Zdravković, L. Kavitha, M. V. Satarić, Slobodan Zeković, Jovana Petrović   +4 more
openalex   +6 more sources

The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations

Results in Physics, 2022
The improved modified extended tanh-function (imETF) method is used to develop exact traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations. Bright solitons, dark solitons, bright-dark solitons, single solitons,
Abdulla – Al – Mamun, Samsun Nahar Ananna, Partha Protim Gharami, Tianqing An, Md. Asaduzzaman   +4 more
doaj   +3 more sources

Exploration of new solitons in optical medium with higher-order dispersive and nonlinear effects via improved modified extended tanh function method

Alexandria Engineering Journal, 2023
Throughout this article, the improved modified extended tanh function method is presented for deriving fresh travelling wave alternative solutions in different forms of nonlinear Schrödinger equation (NLSE) with higher-order dispersive and nonlinear ...
Ola El-shamy, Reda El-barkoki, Hamdy M. Ahmed, W. Abbas, Islam Samir   +4 more
doaj   +2 more sources

Optical solutions and other solutions for Radhakrishnan-Kundu-Laksmannan equation by using improved modified extended tanh-function method [PDF]

, 2021
Abstract This paper studies Radhakrishnan-Kundu-Laksmannan equation which is used to describe the pulse propagation in optical fiber communications. By using improved modified extended tanh-function method various types of solutions are extracted such as bright solitons, singular solitons, singular periodic wave solutions, Jacobi elliptic ...
Ahmed M. Elsherbeny, Reda A. Elbarkouky, Hamdy M. Ahmed, Rabab M. I. El-Hassani, Ahmed H. Arnous   +4 more
openalex   +3 more sources

Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method

Ain Shams Engineering Journal, 2023
The higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse propagation in optical fibres. In this paper, we discuss analytically the non-linear schrödinger equation with higher order dispersion terms up to sixth order and sextic ...
Islam Samir, Hamdy M. Ahmed, Adel Darwish, Hisham H. Hussein   +3 more
doaj   +2 more sources

Analytical construction and visualization of nonlinear waves in the (2+1) dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with stability analysis [PDF]

Scientific Reports
In this study, we investigate the (2+1)-dimensional Kadomtsev–Petviashvili–Sawada–Kotera–Ramani (KPSKR) equation, a physically significant model describing nonlinear wave phenomena in higher-dimensional spaces.
Mahy Ahmed, Hamdy M. Ahmed, Niveen Badra, Islam Samir   +3 more
doaj   +2 more sources

Construction of exact wave solutions for coupled thermoelasticity theory with temperature dependence using improved modified extended tanh-function method [PDF]

Continuum Mechanics and Thermodynamics
Abstract This paper presents a comprehensive study of exact wave solutions within the framework of coupled theory (CT) thermoelasticity, incorporating temperature dependence. We employ tauthorhe method of improved modified extended tanh-function (IMETF) to derive analytical solutions for the governing equations that account for the ...
Mohamed F. Ismail, Hamdy M. Ahmed, Wafaa B. Rabie   +2 more
openalex   +2 more sources