Abstract:In this paper, we investigate the smooth positon and breather-positon solutions of the a generalized integrable discrete nonlinear Schrödinger (NLS) equation by the generalized Darboux transformation (DT). Starting from the zero seed solution, the Nth-order smooth positon solutions are obtained by degenerate DT. The breather solutions including Akhmediev breather, Kuznetsov-Ma breather and spacetime periodic breather are derived from the nonzero seed solution. Then the breather-positon solutions are constructe… Show more
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