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

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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https://hal.inria.fr/hal-00848085
Contributor : Thierry Colin <>
Submitted on : Thursday, July 25, 2013 - 1:59:28 PM
Last modification on : Thursday, April 15, 2021 - 3:31:56 AM
Long-term archiving on: : Wednesday, April 5, 2017 - 4:40:52 PM

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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, Elsevier, 1993, 64, pp.215-236. ⟨hal-00848085⟩

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