nonlinear Schrödinger equation

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nonlinear Schrödinger equation

[¦nän‚lin·ē·ər ′shrād·iŋ·ər i‚kwā·zhən]
(optics)
A special form into which the Maxwell equations can be transformed in a medium with an optical nonlinearity that gives rise to self-action effects; this equation resembles the Schrödinger equation of quantum mechanics with the potential term in the latter equation replaced by a nonlinear term proportional to the local intensity of the light field, and it possesses soliton solutions.
References in periodicals archive ?
FAUVE, Numerical study of hydrodynamics using the nonlinear Schrodinger equation, Phys.
DASGUPTA, Coupled nonlinear Schrodinger equation for Langmuir and dispersive ion acoustic waves, Phys.
THE CHANGES OF PROPERTY OF MICROSCOPIC PARTICLES DESCRIBED BY THE NONLINEAR SCHRODINGER EQUATION
1 The Wave-Corpuscle Duality of Solutions of Nonlinear Schrodinger Equation
Parker, Some general periodic solutions to coupled nonlinear Schrodinger equations, Wave Motion 29, no.
This could shed some light on the physical systems which could be appropriately described by the nonlinear Schrodinger equation derived in what follows.
The contents of this work are the following: In section 2 we derive the nonlinear Schrodinger equation by extending Nottale-Ord's approach to the case of a fractal Brownian motion with a complex diffusion constant.
Thus, the Kadomtsev-Petviashvili equation arises for the case of long wavelength while a two-dimensional generalization of the two-dimensional nonlinear Schrodinger equation appears when the short wavelength case is considered.
CENICEROS, A semi-implicit moving mesh method for the focusing nonlinear Schrodinger equation, Comm.
The effect of the elliptic polarization on the quasi-particle dynamics of linearly coupled systems of nonlinear Schrodinger equations.
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