Results 61 to 70 of about 4,854,822 (190)

Born-Oppenheimer renormalization group for high energy scattering: CSS, DGLAP and all that

Journal of High Energy Physics
In [1], we have introduced the Born-Oppenheimer (BO) renormalization group approach to high energy hadronic collisions and derived the BO approximation for the light cone wave function of a fast moving projectile hadron.
Haowu Duan, Alex Kovner, Michael Lublinsky   +2 more
doaj   +1 more source

Stochastic models associated to a Nonlocal Porous Medium Equation

Modern Stochastics: Theory and Applications, 2018
The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
doaj   +1 more source

Exact Solutions for the Modified KdV and the Generalized KdV Equations via Exp-Function Method

Journal of Mathematical Extension, 2010
An application of the Exp-function method (EFM) to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for the modified KdV equation and the generalized KdV equation.
J. Manafian Heris, M. Bagheri
doaj  

Nonlinear instability in generalized nonlinear phase diffusion equation

, 2003
High-order versions of truncated generalized nonlinear phase diffusion equation of Kuramoto are analyzed. The main common feature of the equations is nonlinear internal energy supply. Numerical solutions are presented for some specific values of equation
Strunin, Dmitry V.
core  

Ultrabroadband Optical Phenomena in Quadratic Nonlinear Media

IEEE Photonics Journal, 2010
We present a comprehensive framework to study the nonlinear evolution of ultrabroadband optical pulses in quadratic nonlinear media. We employ a nonlinear envelope equation that goes beyond the traditional slowly varying approximation and allows ...
M. Conforti, F. Baronio, C. De Angelis
doaj   +1 more source

Soliton eigenvalue evolution in plasma-influenced nonlinear gas-fiber optics

, 2015
We study the influence of ionization on soliton evolution and the self-frequency blueshift in a gas-filled photonic crystal fiber by numerically solving the direct scattering problem of a suitably perturbed nonlinear Schrödinger ...
Travers, J C, Russell, P. St. J., Chang, Wonkeun, Holzer, P   +3 more
core  

Control Variables Analysis of Evolution Equation of Slope Model

Shuitu baochi yanjiu, 2010
Slope stability is the key study content of engineering geological,rigid body limit equilibrium method cannot consider nonlinear sliding characteristics of slope instability mechanism.
DUAN Hong-fei1, GU Hua-xiong2, ZHAN Kai-yu3, ZHAO Li-juan1   +3 more
doaj  

Numerical solutions of Nonlinear Evolution Equation [PDF]

, 2018
Nonlinear evolution of acoustic disturbance such as a sound wave is governed by Burgers equation.This presentation will focus on the evolution of wave motion is governed by Burgers equation, comparingsolutions in limited time ranges, such as those are ...
HANAÇ, Esen
core   +2 more sources

Special Generalized Trigonometric and Hyperbolic Function Solutions of the Space-Time Fractional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation

Journal of Advanced Research in Natural and Applied Sciences
In mathematical physics, the nonlinear dispersive modified Benjamin-Bono-Mahony equation is an essential nonlinear evolution equation. This paper employs the Sardar sub-equation approach to derive the analytic solutions of the space-time fractional ...
Sevil Çulha Ünal
doaj   +1 more source

On the optimal control of strongly nonlinear evolution equations

, 1992
In this paper we study optimal control problems governed by nonlinear evolution equations with nonmonotone nonlinearities in the state. First we prove an existence theorem. Then using the penalty method we obtain necessary conditions for optimality. From
Papageorgiou, Nikolaos S, PAPAGEORGIOU, N   +1 more
core   +1 more source