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nlin.SI2000
Dynamical models of adiabatic -soliton interactions
V. S. Gerdjikov
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…
nlin.SI2000
Reductions and real forms of Hamiltonian systems related to N-wave type equations
V. S. Gerdjikov, G. G. Grahovski
Reductions of N-wave type equations related to simple Lie algebras and the hierarchy of their Hamiltonian structures are studied. The reduction group G_R is realized as a subgroup…
nlin.SI2000
N-soliton train interactions and perturbed complex Toda chain in nonlinear optics. Adiabatic and non-adiabtic aspects
V. S. Gerdjikov, I. M. Uzunov
Our previous results on the N-soliton interaction in the adiabatic approximation have been extended. It is shown that the complex Toda chain (CTC) model is an universal one in the…