Physics – Mathematical Physics
Scientific paper
2003-09-09
Physics
Mathematical Physics
30 pages
Scientific paper
We consider the Cauchy problem for the nonlinear Schroedinger eqiation with
initial data close to a sum of N decoupled solitons. Under some suitable
assumptions on the spectral structure of the one soliton linearizations we
prove that for large time the asymptotics of the solution is given by a sum of
solitons with slightly modified parameters and a small dispersive term.
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