Dispersive partial differential equation information

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function...

In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context, dispersion...

In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different...

The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves...

physics and differential geometry, the latter through the branches of global and geometric analysis. Tao, Terence. Nonlinear Dispersive Equations: Local and...

See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations....

up dispersive in Wiktionary, the free dictionary. Dispersive may refer to: Dispersive partial differential equation, a partial differential equation where...

Schrödinger equation is the dispersive partial differential equation: i ∂ u ∂ t + ∂ 2 u ∂ x 2 + | u | 2 u = 0 , {\displaystyle i\,{\frac {\partial u}{\partial t}}+{\frac...

Collins chair. His research includes topics in harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric...

stable solutions of a wide class of weakly nonlinear dispersive partial differential equations describing physical systems. The soliton phenomenon was...

method that solves the initial value problem for a nonlinear partial differential equation using mathematical methods related to wave scattering.: 4960 ...

In mathematical physics, the Whitham equation is a non-local model for non-linear dispersive waves. The equation is notated as follows: ∂ η ∂ t + α η...

Strichartz estimates are a family of inequalities for linear dispersive partial differential equations. These inequalities establish size and decay of solutions...

concerns harmonic analysis and partial differential equations, including the Korteweg–de Vries equation and Schrödinger equation. Staffilani grew up on a farm...

Schrödinger equation Nonlinear systems Davey–Stewartson equation Dispersive partial differential equation Kadomtsev–Petviashvili equation Korteweg–de...

The Ishimori equation is a partial differential equation proposed by the Japanese mathematician Ishimori (1984). Its interest is as the first example...

mathematical physics, the Eckhaus equation – or the Kundu–Eckhaus equation – is a nonlinear partial differential equation within the nonlinear Schrödinger...

included in the wave equation. Wherever an x derivative ∂ / ∂ x {\displaystyle \partial /\partial x} appears in the wave equation, it is replaced by: ∂...

the solutions of a widespread class of weakly nonlinear dispersive partial differential equations describing physical systems. Wave propagation is any of...

hierarchy is an infinite sequence of partial differential equations which contains the Korteweg–de Vries equation. Let T {\displaystyle T} be translation...

accounting for diffusion is more difficult. The advection equation is the partial differential equation that governs the motion of a conserved scalar field...