Results 21 to 30 of about 1,351 (136)

New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques

Journal of Ocean Engineering and Science, 2023
The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques. The adopted methods are generalized Kudryashov method (GKM), exponential rational function method (ERFM), and ...
Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

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   +1 more source

Structures solitons in birefringent fibers with Kerr and non-local laws of refractive index using improved modified extended tanh-function method

Results in Physics, 2022
In this article, the improved modified extended tanh-function method is used to construct new structure of highly dispersive optical solitons for nonlinear Schrödinger equation in birefringent fibers with Kerr law and non-local law of refractive index ...
Hanaa A. Eldidamony, Hamdy M. Ahmed, Afaf S. Zaghrout, Youssra S. Ali, Ahmed H. Arnous   +4 more
doaj   +1 more source

Two New Applications of the Modified Extended Tanh-Function Method

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. Elwakil, S. K. El-labany, M. A. Zahran, R. Sabry   +3 more
openaire   +1 more source

Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics

Heliyon, 2021
In this current study, we described a modified extended tanh-function (mETF) method to find the new and efficient exact travelling and solitary wave solutions to the modified Liouville equation and modified regularized long wave (mRLW) equation in water ...
Abdulla - Al Mamun, Samsun Nahar Ananna, Tianqing An, Nur Hasan Mahmud Shahen, Md. Asaduzzaman, Foyjonnesa   +5 more
doaj   +1 more source

Modified extended tanh-function method and its applications to the Bogoyavlenskii equation

Applied Mathematical Modelling, 2016
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Emad H.M. Zahran, Mostafa M.A. Khater
openaire   +2 more sources

Fractional-stochastic shallow water equations and its analytical solutions

Results in Physics, 2023
In this paper, the stochastic shallow water wave equation with M-Truncated derivative is taken into account. New rational, trigonometric and hyperbolic solutions are produced using the He’s semi-inverse method and modified extended tanh-function method ...
Amjad E. Hamza, Mohammad Alshammari, D. Atta, Wael W. Mohammed   +3 more
doaj   +1 more source

Unification of all hyperbolic tangent function methods

Open Physics, 2016
Over the last twenty years, several “different” hyperbolic tangent function methods have been proposed to search solutions for nonlinear partial differential equations (NPDEs).
Gözükızıl Ömer Faruk, Akçağıl Şamil, Aydemir Tuğba   +2 more
doaj   +1 more source

Construction of new solitons and other wave solutions for a concatenation model using modified extended tanh-function method

Alexandria Engineering Journal, 2023
In this work, we consider a concatenation model that is a concatenated version of the familiar nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel equation and the Sasa–Satsuma equation.
Wafaa B. Rabie, Hamdy M. Ahmed, Adel Darwish, Hisham H. Hussein   +3 more
doaj   +1 more source

Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation

Journal of Low Frequency Noise, Vibration and Active Control, 2019
This paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation.
Yi Tian
doaj   +1 more source