Multi - Soliton Complexes Nail

This paper reviews the latest advances in the area of multi-soliton complexes (MSCs). We present exact analytical solutions of coupled nonlinear Schr odinger equations, which describe multi-soliton complexes and their interactions on top of a background in media with self-focusing or self-defocusing Kerr-like nonlinearities. We present numerical examples illustrating the remarkable properties of MSCs, such as their reshaping after collisions. This occurs because the fundamental solitons composing an MSC can acquire different lateral shifts. We also obtain an accurate estimate for the peak intensities of stationary and interactingMSCs, by establishing a rigorous relationship between the eigenvalues of incoherently{coupled fundamental solitons and the range of admissible intensities.