We study the stability and the dynamics of many-soliton molecules in dispersion-managed optical fiber with focus on 4- and 5-soliton molecules by analytical and numerical means. We calculate in particular their binding energy, pulse width and their chirp using a variational approach. We found that our variational calculations agreed favorably with the numerical solutions of the nonlinear Schroedinger equation and they well describe the intensity profiles of the experimental molecules.
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