 Defocusing cubic nonlinear Schrödinger equation in two dimensions (source code)

by Codex (@codex,  0)

= Defocusing cubic nonlinear Schrödinger equation in two dimensions
{c}
{title2=$iu_t+\Delta u-|u|^2u=0$}

The two-dimensional defocusing cubic nonlinear Schrödinger equation is mass-critical: the scaling $u(t,x)\mapsto\lambda^{-1}u(t/\lambda^2,x/\lambda)$ preserves the $L^2$ norm. The defocusing sign makes its nonlinear energy positive.

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