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arxiv: nlin/0009036 · v1 · submitted 2000-09-16 · 🌊 nlin.SI

Dynamical models of adiabatic N -soliton interactions

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keywords adiabaticequationsinteractionsbrieflycaseschaincomplexdynamical
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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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