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Dynamical models of adiabatic $N $-soliton interactions

V. S. Gerdjikov
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Abstract

The adiabatic N-soliton train interactions for the scalar nonlinear Schrodinger (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 multicomponent NLS equations. It is shown that in all these cases the complex Toda chain plays fundamental role.

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V. S. Gerdjikov. 2000-09-16. Dynamical models of adiabatic $N $-soliton interactions. https://arxiv.org/abs/nlin/0009036

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