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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:1709.00082 (nlin)
[Submitted on 31 Aug 2017 (v1), last revised 9 Feb 2018 (this version, v2)]

Title:The Mechanism of Kuznetsov-Ma Breather

Authors:L.C. Zhao, L.M. Ling, Z.Y. Yang
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Abstract:We discuss how to understand the dynamical process of Kuznetsov-Ma breather, based on some basic physical mechanisms. It is shown that dynamical process of Kuznetsov-Ma breather involves at least two distinctive mechanisms: modulational instability, and the interference effects between a bright soliton and a plane wave background. Our analysis indicates that modulational instability plays dominant roles in mechanism of Kuznetsov-Ma breather admitting weak perturbations, and the interference effect plays dominant role for the Kuznetsov-Ma breather admitting strong perturbations. For intermediate cases, the two mechanisms are both involved greatly. These characters provide a possible way to understand the evolution of strong perturbations on a plane wave background.
Comments: 5 pages, 4 figures
Subjects: Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:1709.00082 [nlin.PS]
  (or arXiv:1709.00082v2 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.1709.00082
Journal reference: Phys. Rev. E 97, 022218 (2018)
Related DOI: https://doi.org/10.1103/PhysRevE.97.022218

Submission history

From: Li-Chen Zhao Dr. [view email]
[v1] Thu, 31 Aug 2017 20:59:08 UTC (532 KB)
[v2] Fri, 9 Feb 2018 21:51:09 UTC (534 KB)
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