Results 11 to 20 of about 1,537 (209)

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   +2 more sources

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   +4 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

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
doaj   +3 more sources

Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise [PDF]

Scientific Reports
In this study, we investigate the stochastic nonlinear Schrödinger equation incorporating self-phase modulation under the influence of multiplicative white noise in the dispersionless regime.
Mohammed F. Shehab, Hamdy M. Ahmed, Hisham H. Hussein   +2 more
doaj   +2 more sources

Dynamical analysis and soliton solutions to (3+1)-dimensional extended quantum nonlinear Zakharov–Kuznetsov equation [PDF]

Scientific Reports
This study employs an improved modified extended tanh-function method to address the $$(3+1)$$ -dimensional extended quantum nonlinear Zakharov-Kuznetsov equation, which models nonlinear wave propagation in quantum plasmas and magnetized fluid systems ...
Mehreen Fatima, Muhammad Abbas, M. Higazy, Muhammad Nadeem Anwar, Muhammad Zain Yousaf, Asnake Birhanu, Y. S. Hamed   +6 more
doaj   +2 more sources

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   +2 more sources

Novel analytical solutions of stochastic Ginzburg-Landau equation driven by Wiener process via the improved modified extended tanh function method

Alexandria Engineering Journal, 2023
In this manuscript, the improved modified extended tanh integration technique is implemented to investigate the exact solutions of stochastic Ginzburg–Landau model driven by Wiener process which appeared in various fields of chemistry, mathematics and ...
Yazid Alhojilan, Hamdy M. Ahmed
doaj   +2 more sources

Analytical wave solutions in thermoelastic media with temperature-dependent properties via IMETF method [PDF]

Scientific Reports
This study delivers an in-depth analytical investigation of exact wave solutions derived within the context of the Three-Phase-Lag (3PHL) generalized thermoelasticity model, explicitly incorporating the temperature dependence of material properties.
Mohamed F. Ismail, Hamdy M. Ahmed, Soha Safwat, M. Elsaid Ramadan, Nesreen Sirelkhtam Elmki Abdalla, Mahmoud Soliman   +5 more
doaj   +2 more sources

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
doaj   +3 more sources