Results 11 to 20 of about 1,038 (120)

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

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

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
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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
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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
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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
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Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation [PDF]

Scientific Reports
This work investigates dispersive optical solitons governed by a perturbed cubic–quartic nonlinear Schrödinger equation with parabolic self-phase modulation, a model of direct relevance to high-capacity fiber-optic systems where simultaneous higher-order
M. Morgan, Hamdy M. Ahmed, M. Sayed, Mahmoud Soliman   +3 more
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Exact solitary wave solutions and linear stability of the -time-fractional Gardner equation in shallow water dynamics [PDF]

Science Progress
This study investigates the nonlinear dynamics of soliton structures governed by the fractional Gardner equation incorporating the β -time derivative. The model is of significant importance because it generalizes classical nonlinear evolution equations ...
M Elsaid Ramadan, Hamdy M Ahmed, Taha Radwan, Soliman Alkhatib, Mahmoud Soliman   +4 more
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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
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Analytical characterization of optical solitons and bifurcation analysis for the (2+1)-D Wazwaz-Kaur Boussinesq equation [PDF]

Scientific Reports
In this paper, we address the analytical study of optical soliton solutions and the dynamical behavior of the (2+1)-dimensional Wazwaz-Kaur Boussinesq (WKB) equation, which models nonlinear wave propagation in higher-dimensional physical systems ...
Islam Samir, Niveen Badra, Nesreen Sirelkhtam Elmki Abdalla, M. Elsaid Ramadan, Hamdy M. Ahmed   +4 more
doaj   +2 more sources