Erratum to: Triggered Fronts in the Complex Ginzburg Landau Equation (Journal of Nonlinear Science, (2014), 24, 1, (117-144), 10.1007/s00332-013-9186-1)

Ryan Goh, Arnd Scheel

Research output: Contribution to journalComment/debatepeer-review

Abstract

The expansion given in the main result, Theorem 1, of Goh and Scheel (2014) is incorrect. The correct statement is as follows. Theorem 1 Fix α, γ ∈ R and assume that there exists a generic free front. Then there exist trigger fronts for c < clin, |c−clin| sufficiently small. The frequency of the trigger front possesses the expansion ωtf (c) = ωabs(c) + 2/π(1 + α2)3/4|ΔZi|(clin − c)3/2 + O((clin − c)2). (0.1) Here, ωabs(c) = −α + αc2 /2(1 + α2) , andΔZi is defined in (3.22), below. Furthermore, for α ≠ γ the selected wavenumber has the expansion (Formula presentd.).

Original languageEnglish (US)
Pages (from-to)377-378
Number of pages2
JournalJournal of Nonlinear Science
Volume27
Issue number1
DOIs
StatePublished - Feb 1 2017

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