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The Mechanism of Kuznetsov-Ma Breather

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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L.C. Zhao, L.M. Ling, Z.Y. Yang

Pattern Formation and Solitons · Submitted 31 Aug 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

how it is stated · hedged possibility 0.85 read the record →

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arXiv ID1709.00082 (version 2)
Pith IDT2NPVJUC, Pith's permanent record of this paper and its review
CitationL.C. Zhao, L.M. Ling, Z.Y. Yang. "The Mechanism of Kuznetsov-Ma Breather." arXiv:1709.00082 (2017). https://pith.science/paper/T2NPVJUC
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,260 input tokens.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We discuss how to understand the dynamical process of Kuznetsov-Ma breather, based on some basic physical mechanisms. contribution 0.86 0.68 0.04 unclear 0.47
s1 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. result 0.95 0.78 0.60 asserted 1.00
s2 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. result 0.83 0.87 0.64 hedged possibility 0.85
s3 For intermediate cases, the two mechanisms are both involved greatly. result 0.97 0.77 0.12 asserted 0.99
s4 These characters provide a possible way to understand the evolution of strong perturbations on a plane wave background. interpretation 1.00 0.57 0.20 hedged possibility 1.00

What kind of paper the classifier reports this is: theoretical result 0.88 · evidence from argument 0.85.

What was examined, and what was not

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not examined
  • full text
  • figures and tables
  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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.

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 1 sentence without a confident label

Compares with 1 paper
  • Obviously, the inverse scattering eigenvalues for the cases of soliton type perturbations discussed here also admit the discrete spectrum (the profile of soliton is not arbitrary for the discrete spectrum, which is different from the $$-shaped ones discussed in [ref] ).

    Universal behavior of modulationally unstable media · Conclusion and discussion · 0.93

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