Linearizable Robin scattering for defocusing NLS
= Linearizable Robin scattering for defocusing NLS
{title2=$h(k)=(2k-ic)/(2k+ic)$}
For the <Robin boundary condition> $q_x(0,t)=cq(0,t)$ with real $c$, the time <Lax pair> has a diagonal-conjugation symmetry under $k\mapsto-k$. It implies $A(-k)=A(k)$ and $B(-k)=-h(k)B(k)$. Together with the <half-line NLS global relation>, this eliminates unknown boundary scattering from an equivalent <Riemann-Hilbert problem> determined by the initial data and $c$.