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
N1 - Publisher Copyright:
© 2017, Springer Science+Business Media Dordrecht.
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
SN - 0938-8974
VL - 27
SP - 377
EP - 378
JO - Journal of Nonlinear Science
JF - Journal of Nonlinear Science
IS - 1
ER -