Asymptotic stability of N-soliton states of NLS

Details Asymptotic stability of N-soliton states of NLS Asymptotic stability of N-soliton states of NLS

2003-09-05

arxiv.org/abs/math/0309114v1

Mathematics

Analysis of PDEs

70 pages

Scientific paper

The focusing nonlinear Schrodinger equation possesses special non-dispersive
solitary type solutions, solitons. Under certain spectral assumptions we show
existence and asymptotic stability of solutions with the asymptoic profile (as
time goes to infinity) of a linear combination of N non-colliding solitons.

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