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 ?
Cingolani, "Semiclassical states of nonlinear Schrodinger equations," Archive for Rational Mechanics and Analysis, vol.
Anti-dark solitons for a variable-coefficient higher-order nonlinear Schrodinger equation in an inhomogeneous optical fiber," Physica Scripta, vol.
BAND, Optical solitary waves in the higher order nonlinear Schrodinger equation, Phys.
Ozawa, Small data scattering for a system of nonlinear Schrodinger equations, Differ.
High frequency behavior of the focusing nonlinear Schrodinger equation with random inhomogeneities.
THE CHANGES OF PROPERTY OF MICROSCOPIC PARTICLES DESCRIBED BY THE NONLINEAR SCHRODINGER EQUATION
Shepelsky: Analysis of the global relation for the nonlinear Schrodinger equation on the half-line, Lett.
Kostov, Quasi periodic solutions of the coupled nonlinear Schrodinger equations, Proc.
With a very small refractive index perturbation these results agree well with numerical simulations of the Modified Nonlinear Schrodinger Equation.
They cover a range of topics, including viscous flow, magneto-hydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrodinger equation.
A new nonlinear Schrodinger equation is obtained explicitly from the (fractal) Brownian motion of a massive particle with a complex-valued diffusion constant.
In this paper, we consider the following higher-order nonlinear Schrodinger equation with derivative non-Kerr nonlinear terms [1]:
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