Many-soliton components of solutions of nonlinear Schrödinger equation with perturbing term

Inverse scattering problem method is applied to studying the one-soliton and many-soliton solutions of the perturbed nonlinear Schrödinger equation $ir_t=r_{xx}+2|r|^2r+2i\varepsilon\beta(|r|^2r)_x$.