# ODE method

From DispersiveWiki

The **ODE method** generates solutions to a PDE by assuming a special form for the solution (for instance, a travelling wave or a solution independent of the spatial variables) which collapses the equation to an ODE. This is a special case of the method of separation of variables.

The ODE method can be used to generate blowup solutions to various equations such as the focusing nonlinear wave equation.