TY - JOUR

T1 - Erratum to

T2 - Triggered Fronts in the Complex Ginzburg Landau Equation (Journal of Nonlinear Science, (2014), 24, 1, (117-144), 10.1007/s00332-013-9186-1)

AU - Goh, Ryan

AU - Scheel, Arnd

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.).

AB - 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.).

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U2 - 10.1007/s00332-016-9338-1

DO - 10.1007/s00332-016-9338-1

M3 - Comment/debate

AN - SCOPUS:84991098175

VL - 27

SP - 377

EP - 378

JO - Journal of Nonlinear Science

JF - Journal of Nonlinear Science

SN - 0938-8974

IS - 1

ER -