https://doi.org/10.1140/epjb/e2002-00293-7
On adiabatic N-soliton interactions and trace identities
Institute of Nuclear Research and Nuclear Energy,
Bulgarian Academy of Sciences,
Blvd. Tsarigradsko shosse 72, Sofia 1784, Bulgaria
Corresponding author: a gerjikov@inrne.bas.bg
Received:
21
October
2001
Published online:
2
October
2002
We compare the Hamiltonian properties of the N -soliton solutions of the NLSE in the adiabatic approximation and show how it matches the Hamiltonian formulation for the complex Toda chain which describes the adiabatic N -soliton interactions.
PACS: 42.65.Tg – Optical solitons / 02.30.Ik – Integrable systems / 45.20.J – Hamiltonian mechanics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002