Abstract
A general solution of the Zakharov-Shabat system with a real valued potential is obtained in terms of spectral parameter power series. It is used for deriving a dispersion (characteristic) equation for the Zakharov-Shabat eigenvalue problem with a compactly supported potential. Due to its convenient form the dispersion equation lends itself to numerical solution providing a simple and accurate numerical method for solving the Zakharov-Shabat eigenvalue problem.
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