Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem

We propose a new method for finding discrete eigenvalues the direct Zakharov-Shabat problem, based on moving in complex plane along argument jumps of function a(?), localization which does not require great accuracy. It allows to find all taking into account their multiplicity faster than matrix methods and contour integrals. The shows significant advantage over other when calculating large spectrum, both speed