nonlinear Schrödinger equation

(redirected from Nonlinear Schrodinger equation)
Also found in: Acronyms.

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 ?
Example 2: We now study the cubic nonlinear Schrodinger Equation 28,
Laurent, "Global controllability and stabilization for the nonlinear Schrodinger equation on some compact manifolds of dimension 3," SIAM Journal on Mathematical Analysis, vol.
Ezzeddine, "Finite dimensional global attractor for a semi-discrete nonlinear Schrodinger equation with a point defect," Applied Mathematics and Computation, vol.
Unlike the KdV-type equation, the nonlinear Schrodinger equations were used to study the evolution of envelope classical Rossby solitary waves.
Luan, "Multiple solutions for a class of nonlinear Schrodinger equations," Journal of Differential Equations, vol.
We consider the following system of nonlinear Schrodinger equations:
In Section 2, the exact matter-wave soliton solutions of the variable coefficient cubic-quintic nonlinear Schrodinger equation are obtained by using similarity transformation.
The work about the behavior of solutions of the nonlinear Schrodinger equation in the semiclassical limit (s*0) was entirely motivated by a natural mathematicalquestion [5], however, in the recent years many researches show that the semiclassical limit of Schrodinger equation is also of direct importance to basic physics and technology in nonlinear optics [5-7].
Fifteen papers from two March 2011 conferences explore harmonic analysis techniques for studying higher order elliptic systems with irregular coefficients, the behavior of solutions to the focusing quintic nonlinear Schrodinger equation, nonlinear wave equations with null structures, and the transverse stability of periodic traveling waves.
Therefore, once the real motions of the microscopic particles and background fields and their true interactions are considered, then the properties and states of microscopic particles cannot be described by Schrodinger Equation (1), but should be depicted by the following nonlinear Schrodinger equation in nonlinear quantum systems
The method of calculation implemented in this software is based on solving the nonlinear Schrodinger equation. The non-linear Schrodinger equation is the partial differential equation and is a classical optical wave propagation approximation in the optical fiber [5].
Farahrooz: Exact solutions of the nonlinear Schrodinger equation by the first integral method,J.Math.
Full browser ?