Results 91 to 100 of about 295 (152)

Genişletilmiş (2+1)-boyutlu kadomtsev–petviashvili denkleminin soliton çözümlerinin araştırılması [PDF]

This article presents an investigation for soliton solutions of the extended (2+1)-dimensional Kadomtsev–Petviashvili equation which describes wave behavior in shallow water. We utilize the unified Riccati equation expansion method.
Çınar, Melih
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Boundary value problem of Riemann-Liouville fractional differential equations in the variable exponent Lebesgue spaces Lp(.) [PDF]

This manuscript deals with the existence, uniqueness and stability of solutions to the boundary value problem (BVP) of Riemann-Liouville (RL) fractional differential equations (FDEs) in the variable exponent Lebesgue spaces (Lp(.)).
Hashemi, Mir Sajjad, İnç, Mustafa, Refice, Ahmed, Souid, Mohammed Said   +3 more
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Solitary waves of the generalized Zakharov equations via integration algorithms [PDF]

In many applications, the investigation of traveling wave solutions is essential in obtaining an accurate description of the dynamical behavior of most physical phenomena.
Hammad Alotaibi
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Solitary Wave Structures of the One-Dimensional Mikhailov-Novikov-Wang System Using Kudryashov's New Function Method

Proceedings of the International Conference on Applied Innovations in IT
Traveling waves and integrable equations are the most well-known features of nonlinear wave propagation phenomena. Analytical solutions to nonlinear integrable equations play an important role in examining the behaviour and structure of nonlinear systems.
Nadia Dahham Rashad, Mohammed Al-Amr, Ahmed Mohammed Fawze   +2 more
doaj   +1 more source

Abundant solitons for highly dispersive nonlinear Schrödinger equation with sextic-power law refractive index using modified extended direct algebraic method

Alexandria Engineering Journal
In this paper, we investigate soliton solutions and other exact solutions of the highly dispersive perturbed nonlinear Schrödinger equation having Kudryashov's arbitrary form with sextic-power law of refractive index and generalized non-local laws ...
Wafaa B. Rabie, Hisham H. Hussein, Hamdy M. Ahmed, Mahmoud Alnahhass, Wassim Alexan   +4 more
doaj   +1 more source

The new soliton solution types to the Myrzakulov-Lakshmanan-XXXII-equation [PDF]

Our attention concenters on deriving diverse forms of the soliton arising from the Myrzakulov-Lakshmanan XXXII (M-XXXII) that describes the generalized Heisenberg ferromagnetic equation.
Ahmet Bekir, Emad H. M. Zahran, Ratbay Myrzakulov, Reda A. Ibrahim   +3 more
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Stochastic resonant NLSE with cubic-quintic-septic-nonlocal nonlinearity: Soliton dynamics and noise-induced phenomena

Ain Shams Engineering Journal
This research examines the stochastic resonant nonlinear Schrödinger equation (NLSE) with cubic-quintic-septic nonlocal nonlinearity in the It ô framework, incorporating spatio-temporal dispersion (STD), inter-modal dispersion (IMD), resonant ...
Nafissa T. Trouba, Huiying Xu, Reham M.A. Shohib, Mohamed E.M. Alngar, Walaa Mahfouz, Xinzhong Zhu, Mahmoud Mohamed Alderiny   +6 more
doaj   +1 more source

Traveling wave solutions, numerical solutions, and stability analysis of the (2+1) conformal time-fractional generalized q-deformed sinh-Gordon equation

Nonlinear Engineering
The two-dimensional conformal time-fractional generalized qq-deformed sinh-Gordon equation has been used to model a variety of physical systems, including soliton propagation in asymmetric media, nonlinear waves in optical fibers, quantum field theory ...
Ali Khalid K.
doaj   +1 more source

Unraveling the (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation: Exploring soliton solutions via multiple techniques

Alexandria Engineering Journal
The (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation is explored in the present work, revealing its complex dynamics and solitary wave solutions.
Hamood Ur Rehman, Ghada S. Said, Aamna Amer, Hameed Ashraf, M.M. Tharwat, Mahmoud Abdel-Aty, Nasser S. Elazab, M.S. Osman   +7 more
doaj   +1 more source

New soliton solutions and modulation instability analysis of the regularized long-wave equation in the conformable sense

Partial Differential Equations in Applied Mathematics
In this manuscript, we explore the solitary soliton of the regularized long-wave (RLW) equation which involving with weedy nonlinearity effects and dispersion relations which arises in shallow water, phonon packets in crystals, plasma wave and ion ...
Mohammad Mobarak Hossain, Md. Abu Naim Sheikh, Md. Mamunur Roshid, Harun-Or-Roshid, Mohammad Abu Taher   +4 more
doaj   +1 more source