Results 41 to 50 of about 295 (152)

Analytical and numerical study for the generalized q-deformed sinh-Gordon equation

Nonlinear Engineering, 2023
In this article, we study the generalized qq-deformed sinh-Gordon equation analytically using the new general form of Kudryashov’s approach and numerically using the finite difference method.
Ali Khalid K.
doaj   +1 more source

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
core   +1 more source

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

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
core  

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
core   +1 more source

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

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
core   +1 more source

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

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source