Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System

Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System

The Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmetr...

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Main Authors: Wang Shen, Zheng-Yi Ma, Jin-Xi Fei, Quan-Yong Zhu, Jun-Chao Chen
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/2370970
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spelling doaj-f935476823d64a23a541ef9b31cc3e042020-11-25T02:52:22ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/23709702370970Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono SystemWang Shen0Zheng-Yi Ma1Jin-Xi Fei2Quan-Yong Zhu3Jun-Chao Chen4Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaDepartment of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaDepartment of Photoelectric Engineering, Lishui University, Lishui 323000, ChinaInstitute of Nonlinear Analysis and Department of Mathematics, Lishui University, Lishui 323000, ChinaInstitute of Nonlinear Analysis and Department of Mathematics, Lishui University, Lishui 323000, ChinaThe Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmetry-breaking soliton, breather, and lump solutions for this system are obtained through the derived Hirota bilinear form. By taking suitable constants in the involved ansatz functions, abundant fascinating symmetry-breaking structures of the related explicit solutions are shown.http://dx.doi.org/10.1155/2020/2370970
collection DOAJ
language English
format Article
sources DOAJ
author Wang Shen
Zheng-Yi Ma
Jin-Xi Fei
Quan-Yong Zhu
Jun-Chao Chen
spellingShingle Wang Shen
Zheng-Yi Ma
Jin-Xi Fei
Quan-Yong Zhu
Jun-Chao Chen
Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System
Complexity
author_facet Wang Shen
Zheng-Yi Ma
Jin-Xi Fei
Quan-Yong Zhu
Jun-Chao Chen
author_sort Wang Shen
title Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System
title_short Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System
title_full Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System
title_fullStr Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System
title_full_unstemmed Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System
title_sort abundant symmetry-breaking solutions of the nonlocal alice–bob benjamin–ono system
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description The Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmetry-breaking soliton, breather, and lump solutions for this system are obtained through the derived Hirota bilinear form. By taking suitable constants in the involved ansatz functions, abundant fascinating symmetry-breaking structures of the related explicit solutions are shown.
url http://dx.doi.org/10.1155/2020/2370970
work_keys_str_mv AT wangshen abundantsymmetrybreakingsolutionsofthenonlocalalicebobbenjaminonosystem
AT zhengyima abundantsymmetrybreakingsolutionsofthenonlocalalicebobbenjaminonosystem
AT jinxifei abundantsymmetrybreakingsolutionsofthenonlocalalicebobbenjaminonosystem
AT quanyongzhu abundantsymmetrybreakingsolutionsofthenonlocalalicebobbenjaminonosystem
AT junchaochen abundantsymmetrybreakingsolutionsofthenonlocalalicebobbenjaminonosystem
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