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$A_n^{(1)}$ Toda solitons and the dressing symmetry

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H. Belich, R. Paunov

High Energy Physics - Theory · Submitted 3 Dec 1996

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

The authors' main claim This enables us to obtain explicit expression for the element which by dressing group action, produces a generic soliton solution.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9612029 (version 3)
Pith ID32XSOOQF, Pith's permanent record of this paper and its review
CitationH. Belich, R. Paunov. "$A_n^{(1)}$ Toda solitons and the dressing symmetry." arXiv:hep-th/9612029 (1996). https://pith.science/paper/32XSOOQF
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,231 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.97 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We present an elementary derivation of the soliton-like solutions in the $A_n^{(1)}$ Toda models which is alternative to the previously used Hirota method. The solutions of the underlying linear problem corresponding to the N-solitons are calculated. This enables us to obtain explicit expression for the element which by dressing group action, produces a generic soliton solution. In the particular example of monosolitons we suggest a relation to the vertex operator formalism, previously used by Olive, Turok and Underwood. Our results can also be considered as generalization of the approach to the sine-Gordon solitons, proposed by Babelon and Bernard.

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 present an elementary derivation of the soliton-like solutions in the $A_n^{(1)}$ Toda models which is alternative to the previously used Hirota method. contribution 1.00 0.95 0.35 asserted 1.00
s1 The solutions of the underlying linear problem corresponding to the N-solitons are calculated. result 0.48 0.87 0.08 asserted 1.00
s2 This enables us to obtain explicit expression for the element which by dressing group action, produces a generic soliton solution. result 0.81 0.91 0.38 asserted 1.00
s3 In the particular example of monosolitons we suggest a relation to the vertex operator formalism, previously used by Olive, Turok and Underwood. interpretation 0.78 0.65 0.07 hedged possibility 0.99
s4 Our results can also be considered as generalization of the approach to the sine-Gordon solitons, proposed by Babelon and Bernard. interpretation 0.98 0.55 0.09 hedged possibility 0.82

What kind of paper the classifier reports this is: theoretical result 0.80 · 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 present an elementary derivation of the soliton-like solutions in the $A_n^{(1)}$ Toda models which is alternative to the previously used Hirota method. The solutions of the underlying linear problem corresponding to the N-solitons are calculated. This enables us to obtain explicit expression for the element which by dressing group action, produces a generic soliton solution. In the particular example of monosolitons we suggest a relation to the vertex operator formalism, previously used by Olive, Turok and Underwood. Our results can also be considered as generalization of the approach to the sine-Gordon solitons, proposed by Babelon and Bernard.

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