Results 71 to 80 of about 6,899 (148)

Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion

Physics Open
Stochastic optical solitons are a fascinating phenomenon in nonlinear optics where soliton-like behavior emerges in systems affected by stochastic noise. This study investigates the influence of Brownian motion on wave propagation in optical fibers.
Islam Samir, Karim K. Ahmed, Hamdy M. Ahmed, Homan Emadifar, Wafaa B. Rabie   +4 more
doaj   +1 more source

Bifurcation analysis, chaotic behavior, sensitivity demonstration and dynamics of fractional solitary waves to nonlinear dynamical system

Ain Shams Engineering Journal
In various fields of nonlinear sciences, fractional derivatives improve the accuracy and understanding of nonlinear dynamics. This study explores the fractional (2+1) dimensional nonlinear Schrödinger equation arising in the diversity of engineering ...
Usman Younas, Ejaz Hussain, Jan Muhammad, Mubariz Garayev, Mohammed El-Meligy   +4 more
doaj   +1 more source

Coupled Riccati equations for complex plane constraint [PDF]

A new Linear Quadratic Gaussian design method is presented which provides prescribed imaginary axis pole placement for optimal control and estimation systems.
Sesak, John R., Strong, Kristin M.
core   +1 more source

Lagrangian particle paths and ortho-normal quaternion frames

, 2007
Experimentalists now measure intense rotations of Lagrangian particles in turbulent flows by tracking their trajectories and Lagrangian-average velocity gradients at high Reynolds numbers.
Braun W, D D Holm, Ertel H, Gibbon J D, Hanson A J, J D Gibbon, Klein F, Kuipers J B, Liu H Tadmor E Hou T Tadmor E, Léorat J, Majda A J, Marsden J E, Marsden J E, Moffatt H K, Mordant N, Reynolds A M, Tait P G, Whittaker E T   +17 more
core   +2 more sources

Hypergeometric solutions to the q-Painlev\'e equation of type $A_4^{(1)}$

, 2006
We consider the q-Painlev\'e equation of type $A_4^{(1)}$ (a version of q-Painlev\'e V equation) and construct a family of solutions expressible in terms of certain basic hypergeometric series.
Chen Y, Forrester P J, Forrester P J, Forrester P J, Forrester P J, Gasper G, Kajiwara K, Kajiwara K, Kenji Kajiwara, Masuda T, Nijhoff F, Ohta Y, Ramani A, Sakai H, Taro Hamamoto   +14 more
core   +1 more source

Estevez–Mansfield–Clarkson equation: Investigation of Breathers, two waves, and solitary wave solutions in shallow water phenomena and engineering fluid dynamics

Case Studies in Thermal Engineering
This article focuses on investigating the Estevez–Mansfield–Clarkson equation describing the complex dynamics of shallow water waves and the physics of fluids.
U. Younas, J. Muhammad, T.A. Sulaiman, H.F. Ismael, Homan Emadifar, Wael W. Mohammed, Karim K. Ahmed   +6 more
doaj   +1 more source

Bi-Hamiltonian Aspects of a Matrix Harry Dym Hierarchy

, 2006
We study the Harry Dym hierarchy of nonlinear evolution equations from the bi-Hamiltonian view point. This is done by using the concept of an S-hierarchy.
Fontanelli, Laura, Lorenzoni, Paolo, Pedroni, Marco, Zubelli, Jorge P.   +3 more
core   +2 more sources

Peer Methods for the Solution of Large-Scale Differential Matrix Equations

, 2018
We consider the application of implicit and linearly implicit (Rosenbrock-type) peer methods to matrix-valued ordinary differential equations. In particular the differential Riccati equation (DRE) is investigated.
Benner, Peter, Lang, Norman
core  

Exploring the multistability, sensitivity, and wave profiles to the fractional Sharma–Tasso–Olver equation in the mathematical physics

AIP Advances
In this work, we study the solitary wave profiles of the fractional-Sharma–Tasso–Olver equation, which is applicable to particle fission and fusion mechanisms in nuclear physics.
Li Ming, Jan Muhammad, David Yaro, Usman Younas   +3 more
doaj   +1 more source

Diversity of solitary wave structures in Kerr media: Analyzing the complex paraxial wave equation in fiber optic communication systems

Ain Shams Engineering Journal
This study explores the paraxial nonlinear Schrödinger equation in Kerr media, a key model for optical fiber systems. Complex wave transformations reduce the model to a nonlinear ODE, enabling the generation of diverse solutions: bright, dark, bright ...
U. Younas, J. Muhammad, H.F. Ismael, Tukur Abdulkadir Sulaiman, Homan Emadifar, Karim K. Ahmed   +5 more
doaj   +1 more source