First, we recall how two exact solutions of the nonlinear Schrödinger equation that describe (i) soliton propagation on a cw background and (ii) collision between two dark pulses can be obtained by using a common direct integration method. Second, we analyze the amplification–absorption effects on the first solution in the adiabatic approximation.
© 1993 Optical Society of America
Original Manuscript: March 9, 1992
Published: March 1, 1993
L. Gagnon, "Solitons on a continuous-wave background and collision between two dark pulses: some analytical results," J. Opt. Soc. Am. B 10, 469-474 (1993)