Results 71 to 80 of about 10,987,878 (146)

Symmetric Fibonacci Function Solutions of some Nonlinear Partial Differential Equations [PDF]

, 2014
A new version of the Kudryashov’s method for solving non-integrable problems in mathematical physics is presented in this paper. New exact solutions of the heat conduction equation and K(m,n) equation with generalized evolution are obtained by using this
PANDIR, YUSUF
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Unveiling the Dynamics of Nonlinear Landau-Ginzburg-Higgs (LGH) Equation: Wave Structures through Multiple Auxiliary Equation Methods

Journal of New Theory
This comprehensive investigation delves deeply into the intricate dynamics governed by the nonlinear Landau-Ginzburg-Higgs equation. It uncovers a diversity of semi-analytical solutions by leveraging three auxiliary equation methods within the traveling ...
Şerife Müge Ege
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
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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
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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

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
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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.
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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
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, 1923
Camden ...
The Atlas Method
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Novel dynamical group-invariant solutions and conserved vectors of the Gilson–Pickering equation with applications in plasma physics

Partial Differential Equations in Applied Mathematics
This work delves into the analysis of the Gilson–Pickering equation which governs the waves propagation in plasma physics by invoking Lie symmetry analysis. We commence by identifying the Lie point symmetries associated with the equation.
Chaudry Masood Khalique, Anila Mehmood
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