Exact Discrete Spectrum Of The Zakharov-Shabat Scattering Problem For A Phase-Modulated Wave Packet

The simple exact Zakharov-Shabat scattering problem discrete spectrum is presented for the special initial data of the nonlinear Schrodinger equation, having the form q(x) = Aexp[iB log(cosh(x))]/cosh(x). The salient features of this solution and the issues of its stability are discussed. Copyright (C) 2021 EPLA