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

Wang Shen, Zheng-Yi Ma, Jin-Xi Fei, Quan-Yong Zhu and Jun-Chao Chen

Complexity, 2020, vol. 2020, 1-12

Abstract:

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:2370970

DOI: 10.1155/2020/2370970

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