Results 71 to 80 of about 1,282 (135)

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

New extended generalized Kudryashov method for solving three nonlinear partial differential equations

Nonlinear Analysis, 2020
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Elsayed M.E. Zayed, Reham M.A. Shohib, Mohamed E.M. Alngar   +2 more
doaj   +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

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

Exact solitary wave solution for the fractional and classical GEW-Burgers equations: an application of Kudryashov method

Journal of Taibah University for Science, 2018
The fractional partial differential equations have wide applications in science and engineering. In this paper, the Kudryashov techniques were utilized to obtain an exact solution of both fractional generalized equal width (GEW)-Burgers and classical GEW-
R. I. Nuruddeen, Aminu M. Nass
doaj   +1 more source

New Results of Some of the Conformable Models Arising in Dynamical Systems

Advances in Mathematical Physics, 2022
This article investigates the new results of three nonlinear conformable models (NLCMs). To study such varieties of new soliton structures, we perform the generalized Kudryashov (GK) method.
Md Nur Alam, Onur Alp Ilhan, Jalil Manafian, Muhammad Imran Asjad, Hadi Rezazadeh, Haci Mehmet Baskonus   +5 more
doaj   +1 more source

The Riccati System and a Diffusion-Type Equation [PDF]

, 2011
We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems.
Suazo, Erwin, Suslov, Sergei K., Vega-Guzman, Jose M.   +2 more
core  

Investigation of Fractional Behaviors for Physical Phenomena Equation and Ion‐Acoustic Wave Equation via Generalized Bernoulli Equation Method

Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.
This research explores the fractional dynamics of two important nonlinear models: the (2 + 1)‐dimensional breaking soliton equation, which arises in the description of various physical phenomena such as shallow‐water waves, plasma oscillations, and optical solitons, and the (2 + 1)‐dimensional Chaffee–Infante equation, which serves as a fundamental ...
Weerachai Thadee, Pakakrong Tapparak, Panupong Vichitkunakorn, Anak Nongmanee, Sirasrete Phoosree, Higinio Ramos Calle   +5 more
wiley   +1 more source

Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation

Alexandria Engineering Journal
The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza, Khidir Shaib Mohamed, Alaa Mustafa, Khaled Aldwoah, Mohammed Hassan, Hicham Saber   +5 more
doaj   +1 more source

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