Explicit Breather-Type and Pure N-Soliton Solution of DNLS^+ Equation with Nonvanishing Boundary Condition

摘要

Based on a newly revised inverse scattering transform for the derivative nonlinear Schrdinger (DNLS+) equation with nonvanishing boundary condition (NVBC), the explicit breathertype and pure N-soliton solution has been derived by some algebra techniques. The two-breather solution and the pure double-soliton solution have been given as two typical examples in illustration of the general formula of the multi-soliton solution. The asymptotic behaviors of the N-soliton solution are discussed in detail.