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Benney-Roskes/Zakharov-Rubenchik System: Lie Symmetries and Exact Solutions

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Şeyma Gönül, Cihangir Özemir

Exactly Solvable and Integrable Systems · Submitted 20 Sep 2021

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

The authors' main claim The invariance algebra turns out to be infinite-dimensional.

how it is stated · asserted 1.00 read the record →

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arXiv ID2109.09695 (version 1)
Pith IDH4QPIYFJ, Pith's permanent record of this paper and its review
CitationCihangir \"Ozemir, \c{S}eyma G\"on\"ul. "Benney-Roskes/Zakharov-Rubenchik System: Lie Symmetries and Exact Solutions." arXiv:2109.09695 (2021). https://pith.science/paper/H4QPIYFJ
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,818 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.04 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.20 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We investigate Lie symmetry algebra of the Benney-Roskes/Zakharov-Rubenchik systems. The invariance algebra turns out to be infinite-dimensional. We also find several exact solutions of periodic, line-soliton and stationary types.

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 investigate Lie symmetry algebra of the Benney-Roskes/Zakharov-Rubenchik systems. contribution 1.00 0.93 0.09 asserted 0.81
s1 The invariance algebra turns out to be infinite-dimensional. result 1.00 0.88 0.38 asserted 1.00
s2 We also find several exact solutions of periodic, line-soliton and stationary types. result 0.85 0.96 0.22 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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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 investigate Lie symmetry algebra of the Benney-Roskes/Zakharov-Rubenchik systems. The invariance algebra turns out to be infinite-dimensional. We also find several exact solutions of periodic, line-soliton and stationary types.

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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

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