Dynamics of Soliton-Soliton Interactions in Parametrically-Driven Systems

The parametrically-driven, damped nonlinear Schrödinger equation is numerically investigated and the parameter regions for the double-solitons of like polarity are found. The simulations of the soliton evolution in the parameter regions are in good agreement with the experimental observations. The computations also reveal that the “particles number”, momentum and energy are no more constants but vary in a periodic fashion in the system.