Asymptotic stability of N-soliton states of NLS

Abstract

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.

70 pages

References in corpus (1)

• Dispersive analysis of the charge transfer models

Cited by in corpus (9)

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• Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation
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• Fine properties of Charge Transfer Models
• Spectral Theory and Nonlinear PDE: a Survey
• Dispersive estimates for Schroedinger operators: A survey
• Dispersive estimates for Schroedinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: II
• On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation
• Dispersive analysis of the charge transfer models