Abstract
A newly revised inverse scattering transform (IST) is used to solve the derivative nonlinear Schrodinger (DNLS+) equation with non-vanishing boundary condition (NVBC) and normal group-velocity dispersion, and a mixed type of soliton solution is found, which is composed of both pure and breather-type solitons. The mixed-soliton solution can degenerate into breathers and pure solitons when taking the limit of some special parameters, proving the validity of the mixed-type solution.
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