Results 41 to 50 of about 259 (113)

Retrieval of optical solitons with anti-cubic nonlinearity [PDF]

, 2023
: Purpose: In this article, two main subjects are discussed. First, the nonlinear Schrödinger equation (NLSE) with an anti-cubic (AC) nonlinearity equation is examined, which has a great working area, importance and popularity among the study areas of ...
Alghamdi, Abdulah A., Bayram, Mustafa, Bibicu, Dorin, Biswas, Anjan, Gaxiola, Oswaldo González, Iticescu, Catalina, Moldovanu, Simona, Moraru, Luminita, Seçer, Aydın, Özışık, Müslüm   +9 more
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Study of optical stochastic solitons of Biswas-Arshed equation with multiplicative noise [PDF]

, 2023
In many nonlinear partial differential equations, noise or random fluctuation is an inherent part of the system being modeled and have vast applications in different areas of engineering and sciences.
Aziz Ullah Awan, Hamood Ur Rehman, Ifrah Iqbal, Sayed M. Eldin   +3 more
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Lie-Bäcklund symmetries, analytical solutions and conservation laws to the more general (2 + 1)-dimensional Boussinesq equation

Results in Physics, 2021
The propagation of shallow water waves with small amplitudes as they propagate in a water channel of constant depth at a uniform speed is described by general Boussinesq equation.
Tukur A. Sulaiman, Abdullahi Yusuf, Fairouz Tchier, Mustafa Inc, F.M.O. Tawfiq, F. Bousbahi   +5 more
doaj   +1 more source

On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation

, 2006
The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead ...
Ablowitz M J, Buchberger B, Buchberger B, Conte R, Davenport J, Drouffe J-M, Erdélyi A, Eremenko A E, Fan E, Fan E, Gerdt V P, Ginzburg V L, Hone A N W, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A Demina M V, Landau L D, Nikitin A G Barannyk T A, Porubov A V, S Yu Vernov, Tabor M, Timoshkova E I, Timoshkova E I, Vernov S Yu, Vernov S Yu, Vernov S Yu Ganzha V G Mayr E W Vorozhtsov E V, von Hurwitz A   +29 more
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Analysis Modulation Instability and Parametric Effect on Soliton Solutions for M-Fractional Landau–Ginzburg–Higgs (LGH) Equation Through Two Analytic Methods

Fractal and Fractional
This manuscript studies the M-fractional Landau–Ginzburg–Higgs (M-fLGH) equation in comprehending superconductivity and drift cyclotron waves in radially inhomogeneous plasmas, especially for coherent ion cyclotron wave propagation, aiming to explore the
Mohamed Abdalla, Md. Mamunur Roshid, Mahtab Uddin, Mohammad Safi Ullah   +3 more
doaj   +1 more source

Dynamics on novel wave structures of non-linear Schrödinger equation via extended hyperbolic function method [PDF]

, 2023
In this study, our focus is on the construction of novel soliton solutions of non-linear Schrödinger equation with parabolic law and non-local law non-linearities via new extended hyperbolic function method.
Shao-Wen Yao, Naeem Ullah, Hamood Ur Rehman, Mir Sajjad Hashemi, Mohammad Mirzazadeh, Mustafa Inc   +5 more
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Optical soliton solutions for a generalized nonlocal nonlinear Schrödinger-type equation with Kudryashov-like refractive index law

Franklin Open
This study explores a perturbed nonlinear optical system governed by Kudryashov’s law with an arbitrary refractive index to derive novel optical soliton solutions.
Entsar El-Shazly, Menas E. Eissa, Amr Elsonbaty, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

On the exact solutions of nonlinear extended Fisher-Kolmogorov equation by using the He’s variational approach [PDF]

, 2022
: In this article, we investigate existence and the exact solutions of the extended FisherKolmogorov (EFK) equation. This equation is used in the population growth dynamics and wave propagation.
Alsallami, Shami Ali Mohammed, Baber, Muhammad Zafarullah, İnç, Mustafa, Iqbal, Muhammad Sajid, Nisar, Kottakkaran Sooppy, Tarar, Muhammad Akhtar   +5 more
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Analysis of Kudryashov’s equation with conformable derivative via the modified Sardar sub-equation algorithm

Results in Physics
In the present work, we utilize a new Sardar sub-equation approach, leading to the successful derivation of several exact solutions for the time-fractional Kudryashov’s equation, which describes the propagation pulses in optical fibers.
Muhammad Amin S. Murad, Waqas Ali Faridi, Mujahid Iqbal, Ahmed H. Arnous, Nehad Ali Shah, Jae Dong Chung   +5 more
doaj   +1 more source

Novel soliton solutions to the Atangana-Baleanu fractional system of equations for the ISALWs [PDF]

, 2022
This work deals the construction of novel soliton solutions to the Atangana-Baleanu (AB) fractional system of equations for the ion sound and Langmuir waves by using Sardar-subequation method (SSM).
Asjad Muhammad Imran, Gia Tuan Nguyen, Rehman Hamood Ur, Ullah Naeem   +3 more
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