= Nonlinear Schrödinger equation
{title2=$i\psi_t+\Delta\psi+F(|\psi|^2)\psi=0$}
{wiki}
The nonlinear Schrödinger equation adds an amplitude-dependent interaction to Schrödinger-type wave evolution. Its <Laplacian> term disperses the complex wave amplitude, while the sign and form of the nonlinear term determine focusing or defocusing behavior. A one-dimensional cubic specialization is the <focusing nonlinear Schrodinger equation>; members of this broader family need not be <integrable systems>.
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