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.

Multiplicity of Solutions for Schrodinger Equations with Concave-Convex Nonlinearities

Anti-dark solitons for a variable-coefficient higher-order nonlinear Schrodinger equation in an inhomogeneous optical fiber," Physica Scripta, vol.

Multisoliton Solutions and Breathers for the Coupled Nonlinear Schrodinger Equations via the Hirota Method

BAND, Optical solitary waves in the higher order nonlinear Schrodinger equation, Phys.

Preconditioned recycling Krylov subspace methods for self-adjoint problems

Ozawa, Small data scattering for a system of nonlinear Schrodinger equations, Differ.

A second-order time-discretization scheme for a system of nonlinear Schrodinger equations

High frequency behavior of the focusing nonlinear Schrodinger equation with random inhomogeneities.

Time-splitting Chebyshev-Spectral method for the Schrodinger equation in the semiclassical regime with zero far-field boundary conditions

THE CHANGES OF PROPERTY OF MICROSCOPIC PARTICLES DESCRIBED BY THE NONLINEAR SCHRODINGER EQUATION

The dynamic and collision features of microscopic particles described by the nonlinear Schrodinger equation in the nonlinear quantum systems

Shepelsky: Analysis of the global relation for the nonlinear Schrodinger equation on the half-line, Lett.

Linear and nonlinear Schrodinger equations on simple networks

Kostov, Quasi periodic solutions of the coupled nonlinear Schrodinger equations, Proc.

A variational description of non-linear Schrodinger equation

With a very small refractive index perturbation these results agree well with numerical simulations of the Modified Nonlinear Schrodinger Equation.

Physics and Mathematics paper abstracts

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.

Mathematical Modeling in Continuum Mechanics. Second Edition

A new nonlinear Schrodinger equation is obtained explicitly from the (fractal) Brownian motion of a massive particle with a complex-valued diffusion constant.

On nonlinear quantum mechanics, Brownian motion, Weyl geometry and fisher information

In this paper, we consider the following higher-order nonlinear Schrodinger equation with derivative non-Kerr nonlinear terms [1]:

Nonlinear Dynamics and Exact Traveling Wave Solutions of the Higher-Order Nonlinear Schrodinger Equation with Derivative Non-Kerr Nonlinear Terms