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- W2018907511 abstract "The Zakharov-Rubenchik system {i∂TB+ω∂XXB−k(u−υ2ρ+q|B|2)B=0,∈∂Tρ+∂X(u−υρ)=−k∂X|B|2,∈∂Tu+∂X(βρ−υu)=k2υ∂X|B|2 appears in the context of Alfvén waves propagating in a magnetized plasma. This system “contains” the well-known Zakharov equation and the Benney equation for the interaction of high and low frequency waves. We prove the pointwise convergence of the magnetic field B to a solution of the nonlinear Schrödinger equation, in the adiabatic limit ∈ → 0." @default.
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- W2018907511 date "2008-02-01" @default.
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- W2018907511 title "Adiabatic limit of the zakharov-rubenchik equation" @default.
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- W2018907511 doi "https://doi.org/10.1016/s0034-4877(08)00006-2" @default.
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