评论“双波导阵列中的一类新的外隙离散孤子”[混沌 32，073113（2022）]。

Comment on "A new class of out-gap discrete solitons in binary waveguide arrays" [Chaos 32, 073113 (2022)].

机构信息

Department of Physics, Chemistry and Biology (IFM), Linköping University, SE-581 83 Linköping, Sweden.

出版信息

Chaos. 2023 Jan;33(1):018101. doi: 10.1063/5.0128246.

Abstract

Recent results [M. C. Tran and T. X. Tran, Chaos 32, 073113 (2022)] are put into the context of earlier work [A. V. Gorbach and M. Johansson, Eur. Phys. J. D 29, 77-93 (2004); M. Johansson and A. V. Gorbach, Phys. Rev. E 70, 057604 (2004)]. The two newly found families of "beyond-band discrete solitons" [M. C. Tran and T. X. Tran, Chaos 32, 073113 (2022)] are found to be smooth continuations of "on-top breathers" briefly mentioned by Gorbach and Johansson [Eur. Phys. J. D 29, 77-93 (2004)] and Johansson and Gorbach [Phys. Rev. E 70, 057604 (2004)] and the relevant bifurcation scenarios are described. One family is shown to be linearly unstable with respect to symmetry-breaking oscillations.

摘要

最近的研究结果[M.C.Tran 和 T.X.Tran，Chaos 32, 073113（2022）]被纳入到更早的工作[A.V.Gorbach 和 M.Johansson，Eur. Phys. J. D 29, 77-93（2004）；M.Johansson 和 A.V.Gorbach，Phys. Rev. E 70, 057604（2004）]的背景中。新发现的两类“超越带离散孤子”[M.C.Tran 和 T.X.Tran，Chaos 32, 073113（2022）]被发现是 Gorbach 和 Johansson[Eur. Phys. J. D 29, 77-93（2004）]和 Johansson 和 Gorbach[Phys. Rev. E 70, 057604（2004）]简要提到的“在顶呼吸子”的平滑延续，并且描述了相关的分岔情况。其中一个家族被证明在对称性破缺振荡方面是线性不稳定的。