Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

Yan Rybalko, Dmitry Shepelsky

We study the initial value problem for the integrable nonlocal nonlinear Schrödinger (NNLS) equation \[ iq_{t}(x,t)+q_{xx}(x,t)+2σq^{2}(x,t)\bar{q}(-x,t)=0 \] with decaying (as $x\…