Results 31 to 40 of about 1,038 (120)

Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma

Partial Differential Equations in Applied Mathematics
In this study, we examine soliton solutions of extended (2+1)-dimensional Kadomtsev–Petviashvili equation arising in fluid mechanics and plasma physics.
Hamood Ur Rehman, Muhammad Tehseen, Hameed Ashraf, Aziz Ullah Awan, Mohamed R. Ali   +4 more
doaj   +1 more source

Fractional Wave Structures in a Higher-Order Nonlinear Schrödinger Equation with Cubic–Quintic Nonlinearity and β-Fractional Dispersion

Fractal and Fractional
This study employs the improved modified extended tanh method (IMETM) to derive exact analytical solutions of a higher-order nonlinear Schrödinger (HNLS) model, incorporating β-fractional derivatives in both time and space.
Mahmoud Soliman, Hamdy M. Ahmed, Niveen M. Badra, Islam Samir, Taha Radwan, Karim K. Ahmed   +5 more
doaj   +1 more source

Solitary Wave Solutions to a Fractional-Order Fokas Equation via the Improved Modified Extended Tanh-Function Approach

Mathematics
This research employs the improved modified extended tanh-function technique to explore several solitary wave solutions to the fractional-order Fokas equation.
M. B. Almatrafi
doaj   +1 more source

Construction of exact wave solutions for coupled thermoelasticity theory with temperature dependence using improved modified extended tanh-function method

Continuum Mechanics and Thermodynamics
Abstract This paper presents a comprehensive study of exact wave solutions within the framework of coupled theory (CT) thermoelasticity, incorporating temperature dependence. We employ tauthorhe method of improved modified extended tanh-function (IMETF) to derive analytical solutions for the governing equations that account for the ...
Mohamed F. Ismail, Hamdy M. Ahmed, Wafaa B. Rabie   +2 more
openaire   +1 more source

Analyzing the impact of white noise on optical solitons and various wave solutions in the stochastic fourth-order nonlinear Schrödinger equation

Alexandria Engineering Journal
We derive novel soliton solutions and additional wave solutions for the stochastic nonlinear Schrödinger equation with fourth-order perturbations. The study employs an enhanced modified extended tanh-function approach that provides many solution types ...
Mohammed F. Shehab, Hamdy M. Ahmed, Salah Boulaaras, M.S. Osman, Karim K. Ahmed   +4 more
doaj   +1 more source

Wave Dynamics in Design: The Role of Nonlinear Potential Burgers’ Equation With Variable Coefficients

Advances in Mathematical Physics
This paper investigates exact solutions of the potential Burgers equation with variable coefficients (PBEVCs), contributing to communication engineering, nonlinear acoustics, and fluid mechanics.
Xiuchuan He, Hui Xiong, Jianming Qi, Yiqun Sun   +3 more
doaj   +1 more source

Revealing solitons in magneto-optic waveguides for a system of stochastic nonlinear Schrödinger equations with parabolic-nonlocal law of refractive index

Alexandria Engineering Journal
This research investigates the effect of white noise on the waves propagated in magneto-optic waveguides. A coupled system of stochastic nonlinear Schrödinger equations (NLSEs) with the parabolic-nonlocal law of refractive index is used to mimic the ...
Mohamed A. El-bassiouny, Hamdy M. Ahmed, Mona A. Abdel-Khalek, F.N. El-Gammal, Salah B. Doma   +4 more
doaj   +1 more source

Characterizing stochastic solitons behavior in (3+1)-dimensional Schrödinger equation with Cubic–Quintic nonlinearity using improved modified extended tanh-function scheme

Physics Open
An extended version of (3+1)-dimensional non-linear Schrödinger equation that has a cubic–quintic nonlinear component under the stochastic effects is examined in this investigation. Several stochastic exact solutions of this model is acquired through the
Karim K. Ahmed, Hamdy M. Ahmed, Mohammed F. Shehab, Tarek A. Khalil, Homan Emadifar, Wafaa B. Rabie   +5 more
doaj   +1 more source

Novel soliton families and instability criteria in a generalized nonlinear schrödinger equation with higher-order effects

Ain Shams Engineering Journal
This work investigates an extended nonlinear Schrödinger equation that incorporates both even- and odd-order higher-dispersion and nonlinear terms. Such an extended model is physically important because it captures realistic propagation dynamics of ...
Huiqin Chu, Noshirvan Adil, Mohammed H. Ali, Hamdy M. Ahmed, Taha Radwan, Wafaa B. Rabie   +5 more
doaj   +1 more source

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
doaj   +1 more source