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arxiv: 0907.1550 · v5 · submitted 2009-07-09 · 🧮 math.AP

Soliton dynamics for a general class of Schr\"odinger equations

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keywords classdynamicsgeneralodingerschrsolitonassociatedautonomous
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The soliton dynamics for a general class of nonlinear focusing Schr\"odinger problems in presence of non-constant external (local and nonlocal) potentials is studied by taking as initial datum the ground state solution of an associated autonomous elliptic equation.

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