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Journal Articles Physica D: Nonlinear Phenomena Year : 1993

On the standing waves solutions to a nonlocal, nonlinear Schrödinger equation occuring in plasma Physics

Thierry Colin
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Abstract

In this work, our goal is to study the standing waves solutions to some generalization of the following system. iφt + ∆φ = −div(|∇ψ|2∇ψ), ∆ψ = φ. We shall prove the existence of standing waves, solution to this equa- tions and provide some stability results.
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hal-00848085 , version 1 (25-07-2013)

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Thierry Colin. On the standing waves solutions to a nonlocal, nonlinear Schrödinger equation occuring in plasma Physics. Physica D: Nonlinear Phenomena, 1993, 64, pp.215-236. ⟨10.1016/0167-2789(93)90256-Z⟩. ⟨hal-00848085⟩
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