Abstract
We consider bound states (BS) of quasi-soliton pulses in the quintic Ginzburg-Landau (GL) equation and in the driven damped nonlinear Schrodinger equation. Using the perturbation theory, we derive dynamical systems describing the interaction between weakly overlapping pulses in both models and formation of bound states. While all BS’s in the GL model are unstable, one of them has very weak instability, so it can be considered stable for applications. For the damped driven model, we demonstrate the existence of fully stable BS’s, provided that the amplitude of the driving field exceeds a very low threshold.
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