nonlinear Schrödinger equation

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• Nonlinear Schrödinger equation — This page is about the equation iψt = −½ψxx + κ|ψ|2ψ. For the equation iψt = −½ψxx + V(x)ψ + κ|ψ|2ψ, used in Bose–Einstein condensate theory, see Gross–Pitaevskii equation. In theoretical physics, the nonlinear Schrödinger equation (NLS) is a… …   Wikipedia

• Schrödinger equation — For a more general introduction to the topic, please see Introduction to quantum mechanics. Quantum mechanics …   Wikipedia

• Schrödinger field — In quantum mechanics and quantum field theory, a Schrödinger field is a quantum field which obeys the Schrödinger equation. While any situation described by a Schrödinger field can also be described by a many body Schrödinger equation for… …   Wikipedia

• Nonlinear system — Not to be confused with Non linear editing system. This article describes the use of the term nonlinearity in mathematics. For other meanings, see nonlinearity (disambiguation). In mathematics, a nonlinear system is one that does not satisfy the… …   Wikipedia

• Équation de Schrödinger semi-linéaire — L équation de Schrödinger semi linéaire est une équation comportant un terme linéaire de type équation de Schrödinger et un terme de réaction non linéaire : Sommaire 1 Modélisation 2 Équation de Schrödinger cubique focal …   Wikipédia en Français

• Novikov–Veselov equation — In mathematics, the Novikov–Veselov equation (or Veselov–Novikov equation) is a natural (2+1) dimensional analogue of the Korteweg–de Vries (KdV) equation. Unlike another (2+1) dimensional analogue of KdV, the Kadomtsev–Petviashvili equation, it… …   Wikipedia

• Gross–Pitaevskii equation — The Gross–Pitaevskii equation is a nonlinear model equation for the order parameter or wavefunction of a Bose–Einstein condensate. It is similar in form to the Ginzburg–Landau equation and is sometimes referred to as a nonlinear Schrödinger… …   Wikipedia

• Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia

• Dispersive partial differential equation — In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context, dispersion means that waves of different wavelength propagate at different phase velocities.… …   Wikipedia

• Ishimori equation — The Ishimori equation (IE) is a partial differential equation proposed by the Japanese mathematician harvtxt|Y. Ishimori|1984. Its interest is as the first example of a nonlinear spin one field model in the plane that is integrable… …   Wikipedia

• Dispersionless equation — Dispersionless (or quasi classical) limits of integrable partial differential equations (PDE) arise in various problems of mathematics and physics and are intensively studied in the recent literature (see, f.i., [1] [5]). Contents 1 Examples 1.1… …   Wikipedia