Results 81 to 90 of about 345,070 (184)

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

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

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

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

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  

Soliton dynamics in the $ (2+1) $-dimensional Nizhnik-Novikov-Veselov system via the Riccati modified extended simple equation method

AIMS Mathematics
The current study employs a transformation-based analytical technique, namely Riccati modified extended simple equation method (RMESEM) to construct and examine soliton phenomena in a prominent $ (2+1) $-dimensional mathematical model namely Nizhnik ...
Naveed Iqbal, Meshari Alesemi
doaj   +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

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

Digital program for solving the linear stochastic optimal control and estimation problem [PDF]

A computer program is described which solves the linear stochastic optimal control and estimation (LSOCE) problem by using a time-domain formulation. The LSOCE problem is defined as that of designing controls for a linear time-invariant system which is ...
Geyser, L. C., Lehtinen, B.
core   +1 more source

AESOP: An interactive computer program for the design of linear quadratic regulators and Kalman filters [PDF]

AESOP is a computer program for use in designing feedback controls and state estimators for linear multivariable systems. AESOP is meant to be used in an interactive manner. Each design task that the program performs is assigned a "function" number.
Geyser, L. C., Lehtinen, B.
core   +1 more source