Journal
PHYSICAL REVIEW E
Volume 69, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.69.066604
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An inverse scattering transform for the derivative nonlinear Schrodinger equation with nonvanishing boundary conditions is derived by introducing an affine parameter to avoid constructing Riemann sheets. A one-soliton solution simpler than that in the literature is obtained, which is a breather and degenerates to a bright or dark soliton as the discrete eigenvalue becomes purely imaginary. The solution is mapped to that of the modified nonlinear Schrodinger equation by a gaugelike transformation, predicting some sub-picosecond solitons in optical fibers.
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