Results 1 to 10 of about 1,537 (209)

Travelling wave solutions for the doubly dispersive equation using improved modified extended tanh-function method

Alexandria Engineering Journal, 2022
In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method.
Manar S. Ahmed, Afaf A.S. Zaghrout, Hamdy M. Ahmed   +2 more
doaj   +4 more sources

Solitary Wave Solutions to a Fractional Model Using the Improved Modified Extended Tanh-Function Method

Fractal and Fractional, 2023
Nonlinear fractional partial differential equations (NLFPDEs) are widely used in simulating a variety of phenomena arisen in several disciplines such as applied mathematics, engineering, physics, and a wide range of other applications.
Mohammed Bakheet Almatrafi
doaj   +4 more sources

Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method [PDF]

Scientific Reports
This study investigates solitary wave solutions of the three-dimensional, time-dependent nonlinear Schrödinger equation with cubic–quintic effects and a generalized Kudryashov-type self-phase modulation term.
Amany Tarek, Hamdy M. Ahmed, Niveen Badra, Islam Samir   +3 more
doaj   +4 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   +5 more sources

Extraction of solitons in multimode fiber for CHNLSEs using improved modified extended tanh function method

Alexandria Engineering Journal
The coupled higher-order nonlinear Schrödinger equations (CHNLSEs) are investigated in this paper. This model mimic the actuation of the solitons through multimode fibers.
Ola El-Shamy, Reda El-barkoki, Hamdy M. Ahmed, W. Abbas, Islam Samir   +4 more
doaj   +4 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   +4 more sources

Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method [PDF]

Scientific Reports
In this work, a sixth–order extension of the nonlinear Schrödinger equation (NLSE) within its integrable hierarchy is investigated to model higher–order nonlinear and dispersive effects relevant to optical fiber systems and nonlinear wave propagation. By
Mina M. Fahim, Hamdy M. Ahmed, K. A. Dib, Islam Samir   +3 more
doaj   +5 more sources

Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method

Ain Shams Engineering Journal
In this paper, the improved modified extended Tanh function technique is used to find analytical solutions to the cubic-quartic Lakshmanan-Porsezian-Daniel model which describes the pulse propagation in optical fiber. Using the traveling wave theory, the
Hisham H. Hussein, Hamdy M. Ahmed, Wassim Alexan   +2 more
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An Improved Modified Extended tanh-Function Method

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, Benny Y. C. Hon
openaire   +3 more sources

Derivation of new optical solitons for Biswas-Milovic equation with dual-power law nonlinearity using improved modified extended tanh-function method

Alexandria Engineering Journal, 2023
Cubic-quartic optical solitons and other solutions for Biswas-Milovic equation with dual-power law nonlinearity are investigated using improved modified extended tanh-function method.
Nivan M. Elsonbaty, Niveen M. Badra, Hamdy M. Ahmed, Ahmed M. Elsherbeny   +3 more
doaj   +3 more sources