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• W2043644920 abstract "We study the existence of standing wave solutions of the complex Ginzburg–Landau equation(GL)φt−eiθ(ρI−Δ)φ−eiγ|φ|αφ=0 in RN, where α>0, (N−2)α<4, ρ>0 and θ,γ∈R. We show that for any θ∈(−π/2,π/2) there exists ε>0 such that (GL) has a non-trivial standing wave solution if |γ−θ|<ε. Analogous result is obtained in a ball Ω∈RN for ρ>−λ1, where λ1 is the first eigenvalue of the Laplace operator with Dirichlet boundary conditions." @default.
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• W2043644920 date "2015-02-01" @default.
• W2043644920 modified "2023-09-30" @default.
• W2043644920 title "Existence of standing waves for the complex Ginzburg–Landau equation" @default.
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• W2043644920 doi "https://doi.org/10.1016/j.jmaa.2014.08.057" @default.
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