Dynamical Models of Adiabatic N - Soliton Interactions
نویسنده
چکیده
The adiabatic N-soliton train interactions for the scalar nonlinear Schrö-dinger (NLS) equation and its perturbed versions are well studied. Here we briefly outline how they can be generalized for the higher NLS-type equations and for the multicompo-nent NLS equations. It is shown that in all these cases the complex Toda chain plays fundamental role. 1. Introduction. In a number of applications to fiber optics communications (see e.g. [1, 2, 3] and the numerous references therein) it is important to analyze the N-soliton train interaction of the (perturbed) nonlinear Schrödinger equation ((p)NLS) and some of its multicomponent versions. An important class of these equations are known to be integrable by applying the inverse scattering method to the generalized Zakharov-Shabat system [4]:
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