While coherent structures play an essential role in the analysis and applications of wave equations it has been impossible (until now) to find all the nonlinear ones. This talk will focus on the Nonlinear Schrodinger Equations where coherent structures have the form e iEtf(x) with real frequency E and the profile f in the H1 Sobolev space over Rn. We show that all coherent structures must organize themselves in smooth branches accumulating to E equal infinity. In this limit they split into peaks and an algebraic equilibrium equation between peak-potential and peak-peak interaction emerges. The equation determines the possible limit points of the coherent structures as the frequency E approaches infinity. For small number of peaks or for peaks in a collinear configuration the limiting points can be obtained by hand. However, for large number of non-collinear peaks we employ computer assisted proofs. Once the limit points are determined we adapt techniques from local bifurcation theory to show existence of actual branches of coherent states emerging from the limit points and trace them from high frequency into the range of medium and small frequency.