---
title: "<math>An(1)</math> Toda Solitons: A Relation between Dressing Transformations and Vertex Operators • CBPF Index"
description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb4d5"
locale: en
meta:
  "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~PG1hdGg-QW4oMSk8L21hdGg-IFRvZGEgU29saXRvbnM6IEEgUmVsYXRpb24gYmV0d2VlbiBEcmVzc2luZyBUcmFuc2Zvcm1hdGlvbnMgYW5kIFZlcnRleCBPcGVyYXRvcnM%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~SC4gQmVsaWNoIEpyOyBSLiBQYXVub3Y%2Cdetalhe_1998%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI0ZDUi%2Cs_aZaPy2_4SwmoUJQz.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "<math>An(1)</math> Toda Solitons: A Relation between Dressing Transformations and Vertex Operators • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~PG1hdGg-QW4oMSk8L21hdGg-IFRvZGEgU29saXRvbnM6IEEgUmVsYXRpb24gYmV0d2VlbiBEcmVzc2luZyBUcmFuc2Zvcm1hdGlvbnMgYW5kIFZlcnRleCBPcGVyYXRvcnM%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~SC4gQmVsaWNoIEpyOyBSLiBQYXVub3Y%2Cdetalhe_1998%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI0ZDUi%2Cs_aZaPy2_4SwmoUJQz.png"
---

> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Physics Note****Published**

# <math>An(1)</math>\<math>A\_n^{(1)}\</math><math>An(1)​</math>** Toda Solitons: A Relation between Dressing Transformations and Vertex Operators**

**H. Belich Jr; R. Paunov**

1998

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb4d5/pdf) [**Contact owner**](<mailto:apub@cbpf.br?subject=%3Cmath%3EAn(1)%3C%2Fmath%3E%20Toda%20Solitons%3A%20A%20Relation%20between%20Dressing%20Transformations%20and%20Vertex%20Operators>)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>H. Belich Jr; R. Paunov</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1998</dd>

<dt>Description</dt>
<dd>Affine Toda equations based on simple Lie algebras arise by imposing zero curvature condition on a Lax connection which belongs to the corresponding loop Lie algebra in the principal gradation. In the particular case of &lt;math&gt;A_n^{(1)}\,\!&lt;/math&gt; Toda models, we exploit the symmetry of the underlying linear problem to calculate the dressing group element which generates arbitrary N-soliton solution from the vacuum. Starting from this result we recover the vertex operator representation of the soliton tau functions.</dd>

<dt>Year</dt>
<dd>1998</dd>

<dt>Number</dt>
<dd>CBPF-NF-050/98</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/en#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"en-US","name":"CBPF Index","url":"https://index.cbpf.br/en","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb4d5#webpage","@type":"WebPage","description":"CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community.","name":"\u003Cmath>An(1)\u003C/math> Toda Solitons: A Relation between Dressing Transformations and Vertex Operators","url":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb4d5","isPartOf":{"@id":"https://index.cbpf.br/en#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb4d5"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"en-US","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.