Results 41 to 50 of about 2,624,244 (381)
The Rogue Waves with Quintic Nonlinearity and Nonlinear Dispersion effects in Nonlinear Optical Fibers [PDF]
, 2013 We present exact rational solution for a modified nonlinear Schr$\ddot{o}$dinger equation that takes into account quintic nonlinearity and nonlinear dispersion corrections to the cubic nonlinearity, which could be used to describe rogue wave in nonlinear fibers.
arxiv +1 more source
A Nonlinear Wave Equation with Jumping Nonlinearity
Discrete & Continuous Dynamical Systems - A, 1998 We investigate multiplicity of solutions $u(x,t)$ for a piecewise linear perturbation of the one-dimensional wave operator $u_{t t} - u_{x x}$ under Dirichlet boundary condition on the interval $(-\pi/2, \pi/2)$ and periodic condition on the variable $t$.
Q-Heung Choi, Tacksun Jung
openaire +2 more sources
IEEE Photonics Journal, 2018 We report on frequency down-conversion of dual-wavelength (DW) Raman fiber laser in a periodically poled lithium niobate-based optical parametric oscillator.
Peng Wang +5 more
doaj +1 more source
Nonlinear waves of nuclear density [PDF]
Int.J.Mod.Phys. E7 (1998) 449-463, 1999 Nonlinear excitations of nuclear density are considered in the framework of semiclassical nonlinear nuclear hydrodynamics. Possible types of stationary nonlinear waves in nuclear media are analysed using Nonlinear Schroedinger equation of fifth order and classified using a simple mechanical picture.
arxiv +1 more source
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Applied Mathematical Sciences, 1983 Contents: Introduction: Differential Equations and Dynamical Systems.- An Introduction to Chaos: Four Examples.- Local Bifurcations.- Averaging and Perturbation from a Geometric Viewpoint.- Hyperbolic Sets, Sympolic Dynamics, and Strange Attractors ...
J. Guckenheimer, P. Holmes
semanticscholar +1 more source
Shock and Vibration, 2017 We investigate the chaotic oscillations in a fractional order model of a portal frame with nonideal loading. The bifurcation of the fractional order portal frame system for parameters and fractional orders are investigated. Bicoherence analysis shows the
Karthikeyan Rajagopal +2 more
doaj +1 more source
New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations
Abstract and Applied Analysis, 2015 The consistent tanh expansion (CTE) method has been succeeded to apply to the nonintegrable (3+1)-dimensional Kadomtsev-Petviashvili (KP) and (2+1)-dimensional Boussinesq equations.
Bo Ren, Jun Yu, Xi-Zhong Liu
doaj +1 more source
Feasibility of heart girth models in estimating live weight of fat‐long‐tailed sheep
Veterinary Medicine and Science, 2021 Fat deposition in the brisket of Ethiopian fat‐long‐tailed sheep may interfere with the correlation between heart girth (HG) and live weight (LW), bringing into question the accuracy of HG models for LW prediction that are currently in use.
Jane Wamatu, Ashraf Alkhtib
doaj +1 more source
Graphene - a rather ordinary nonlinear optical material [PDF]
, 2014 An analytical expression for the nonlinear refractive index of graphene has been derived and used to obtain the performance metrics of third order nonlinear devices using graphene as a nonlinear medium. None of the metrics is found to be superior to the existing nonlinear optical materials.
arxiv +1 more source
Hamiltonian form of extended cubic-quintic nonlinear Schrödinger equation in a nonlinear Klein-Gordon model [PDF]
arXiv, 2022 We derive an extended cubic-quintic nonlinear Schr\"{o}dinger equation with Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic nonlinearity. We use the nonlinear dispersion relation to properly take into account the input of high-order nonlinear effects in the Hamiltonian perturbation approach to nonlinear modulation.
arxiv