Controllable symmetry breaking solutions for a nonlocal Boussinesq system

The generalized Boussinesq equation is a useful model to describe the water wave. In this paper, with the coupled Alice-Bob (AB) systems, the nonlocal Boussinesq system can be obtained via the parity and time reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmet...

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Detalles Bibliográficos
Autores principales: Fei, Jinxi, Ma, Zhengyi, Cao, Weiping
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6927962/
https://www.ncbi.nlm.nih.gov/pubmed/31873159
http://dx.doi.org/10.1038/s41598-019-56093-8
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author Fei, Jinxi
Ma, Zhengyi
Cao, Weiping
author_facet Fei, Jinxi
Ma, Zhengyi
Cao, Weiping
author_sort Fei, Jinxi
collection PubMed
description The generalized Boussinesq equation is a useful model to describe the water wave. In this paper, with the coupled Alice-Bob (AB) systems, the nonlocal Boussinesq system can be obtained via the parity and time reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmetry breaking rogue wave, symmetry breaking soliton and symmetry breaking breather solutions for a nonlocal Boussinesq system are obtained through the derived Hirota bilinear form. The residual symmetry and finite symmetry transformation of the nonlocal AB-Boussinesq system are also studied.
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spelling pubmed-69279622019-12-27 Controllable symmetry breaking solutions for a nonlocal Boussinesq system Fei, Jinxi Ma, Zhengyi Cao, Weiping Sci Rep Article The generalized Boussinesq equation is a useful model to describe the water wave. In this paper, with the coupled Alice-Bob (AB) systems, the nonlocal Boussinesq system can be obtained via the parity and time reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmetry breaking rogue wave, symmetry breaking soliton and symmetry breaking breather solutions for a nonlocal Boussinesq system are obtained through the derived Hirota bilinear form. The residual symmetry and finite symmetry transformation of the nonlocal AB-Boussinesq system are also studied. Nature Publishing Group UK 2019-12-23 /pmc/articles/PMC6927962/ /pubmed/31873159 http://dx.doi.org/10.1038/s41598-019-56093-8 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Fei, Jinxi
Ma, Zhengyi
Cao, Weiping
Controllable symmetry breaking solutions for a nonlocal Boussinesq system
title Controllable symmetry breaking solutions for a nonlocal Boussinesq system
title_full Controllable symmetry breaking solutions for a nonlocal Boussinesq system
title_fullStr Controllable symmetry breaking solutions for a nonlocal Boussinesq system
title_full_unstemmed Controllable symmetry breaking solutions for a nonlocal Boussinesq system
title_short Controllable symmetry breaking solutions for a nonlocal Boussinesq system
title_sort controllable symmetry breaking solutions for a nonlocal boussinesq system
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6927962/
https://www.ncbi.nlm.nih.gov/pubmed/31873159
http://dx.doi.org/10.1038/s41598-019-56093-8
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