Results 91 to 100 of about 1,434 (182)

Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium‐Doped Fiber

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this work, the reduced spin Hirota–Maxwell–Bloch (rsHMB) equation is examined analytically. This model is useful for characterizing the propagation of femtosecond pulses in an erbium‐doped fiber. The optical soliton solutions of the introduced rsHMB problem are constructed using the Jacobi elliptic function (JEF) expansion technique.
Asma Taskeen, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Baboucarr Ceesay, Nauman Ahmed, Zine El Abiddine Fellah   +5 more
wiley   +1 more source

Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This study examines the optical soliton structure solutions, sensitivity, and modulation stability analysis of the chiral nonlinear Schrödinger equation (NLSE) with Bohm potential, a basic model in nonlinear optics and quantum mechanics. The equation represents wave group dynamics in numerous physical systems, involving quantum Hall and nonlinear ...
Ishrat Bibi, Shah Muhammad, Muhammad Shakeel, Baboucarr Ceesay, Ivan Giorgio   +4 more
wiley   +1 more source

APPLICATION OF THE GENERALIZED KUDRYASHOV METHOD TO THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
In this paper, we investigate the general solutions to the Kolmogorov-Petrovskii-Piskunov equation using the generalized Kudryasov method. It was demonstrated that all produced answers are supplied by exponential function solutions using the symbolic computer program Maple.
Zeynep Aydın, Filiz Taşcan
openaire   +2 more sources

Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
Various nonlinear evolution equations reveal the inner characteristics of numerous real‐life complex phenomena. Using the extended fractional Riccati expansion method, we investigate optical soliton solutions of the fractional Klein–Gordon equation within this modified framework.
Md. Abde Mannaf, Muktarebatul Jannah, Md. Habibul Bashar, Md. Ekramul Islam, Md. Zuel Rana, Mst. Tania Khatun, Md. Noor-A-Alam Siddiki, Md. Shahinur Islam, Shikha Binwal   +8 more
wiley   +1 more source

The generalized Kudryashov method for the nonlinear fractional partial differential equations with the beta-derivative

Revista Mexicana de Física, 2020
In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana's comformable derivative using the general Kudryashov method. Firstly, Atangana's comformable fractional derivative and its properties are included.
openaire   +1 more source

Exact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics

Symmetry, 2023
In this study, we utilize the potent generalized Kudryashov method to address the intricate obstacles presented by fractional differential equations in the field of mathematical physics. Specifically, our focus centers on obtaining novel exact solutions for three pivotal equations: the time-fractional seventh-order Sawada-Kotera-Ito equation, the time ...
openaire   +2 more sources

Soliton Dynamics of the Nonlinear Kodama Equation with M-Truncated Derivative via Two Innovative Schemes: The Generalized Arnous Method and the Kudryashov Method

Fractal and Fractional
The primary aim of this research article is to investigate the soliton dynamics of the M-truncated derivative nonlinear Kodama equation, which is useful for optical solitons on nonlinear media, shallow water waves over complex media, nonlocal internal ...
Khizar Farooq, Ali. H. Tedjani, Zhao Li, Ejaz Hussain   +3 more
doaj   +1 more source

New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation

Entropy, 2015
In this paper, exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation are successfully obtained. The extended trial equation method (ETEM) and generalized Kudryashov method (GKM) are applied to find several exact solutions ...
Seyma Tuluce Demiray, Hasan Bulut
doaj   +1 more source

Pfaffian solutions and nonlinear dynamics of surface waves in two horizontal and one vertical directions with dispersion, dissipation and nonlinearity effects

Alexandria Engineering Journal
This study delves into the exploration of the (3+1)-dimensional generalized nonlinear fractional Konopelchenko–Dubrovsky–Kaup–Kupershmidt (GFKDKK) system, a crucial nonlinear evolution equation governing wave motion across various physical domains.
Mostafa M.A. Khater
doaj   +1 more source

Existence, uniqueness and analyticity of space-periodic solutions to the regularised long-wave equation

, 2013
We consider space-periodic evolutionary and travelling-wave solutions to the regularised long-wave equation (RLWE) with damping and forcing. We establish existence, uniqueness and smoothness of the evolutionary solutions for smooth initial conditions ...
Chertovskih, R., Chian, A. C. -L., Podvigina, O., Rempel, E., Zheligovsky, V.   +4 more
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