Category:Korteweg-de Vries Equation

This category contains results about Korteweg-de Vries Equation.
Definitions specific to this category can be found in Definitions/Korteweg-de Vries Equation.

The Korteweg-de Vries equation is the partial differential equation:

$\dfrac {\partial y} {\partial t} + \dfrac {\partial^3 y} {\partial x^3} + 6 y \dfrac {\partial y} {\partial x} = 0$

where $t$ denotes time and $x$ denotes a space variable.

The Korteweg-de Vries equation is classified as an integrable system.