Effects of Dissipative Perturbation on Bound-State Solitons of Nonlinear Schrödinger Equation

Abstract

The perturbation theory and numerical simulations show that the period of a bound state of two solitons of the nonlinear Schrödinger equation increases at each collision due to a dissipative perturbation. After some collisions, the bound state approaches to a double-pole state and practically splits into two single solitons of equal amplitude.