An Improved Inverse Scattering Transform for DNLS+ Equation under Nonvanishing Boundary Condition

摘要

A revised inverse scattering transform (1ST for brevity) for the derivative nonlinear Schrodinger (DNLS+) equation with nonvanishing boundary condition (NVBC) and normal group velocity dispersion is proposed by introducing an affine parameter in Zakharov-Shabat integral; the explicit breather-type one soliton solution has been derived, which can reproduce the one pure soliton at the degenerate case and the the one bright soliton solution at the limit of vanishing boundary, verifying the validity of the improved 1ST.