A higher-order, multiple-scale asymptotic analysis is made of the perturbed nonlinear Schrödinger equation in a strong dispersion-managed optical transmission system. It is found that the averaged equation with the next-order term included significantly improves the description of the characteristics of dispersion-managed solitons. The derived equation is shown to support a new class of soliton solutions, namely, multihump solitons, which depend on both the map strength and dispersion profile. Numerical evidence of the regions of existence and stability of such new solitons is discussed.
© 2002 Optical Society of America
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.4510) Fiber optics and optical communications : Optical communications
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
Mark J. Ablowitz, Toshihiko Hirooka, and Takashi Inoue, "Higher-order asymptotic analysis of dispersion-managed transmission systems: solutions and their characteristics," J. Opt. Soc. Am. B 19, 2876-2885 (2002)