Results 1 to 10 of about 1,038 (120)

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

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

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
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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
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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
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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
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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
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Influence of a laser pulse on thermoelasticity with temperature dependence under the dual-phase-lag model using improved modified extended tanh function method

Results in Physics
In this paper, the improved modified extended tanh function method (IMETFM) is introduced for analyzing the influence of laser pulse on a thermo-elastic with temperature-dependence under a dual phase lag model (DPL).
Wafaa B. Rabie, Hamdy M. Ahmed, Abdallah A. Syied, Assmaa Abd-Elmonem, Nagat A.A. Suoliman, Mohamed F. Ismail   +5 more
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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   +2 more sources