Author:
Fei Jinxi,Ma Zhengyi,Cao Weiping
Abstract
AbstractThe 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.
Publisher
Springer Science and Business Media LLC
Reference30 articles.
1. Lou, S. Y. Alice-Bob systems, P − T − Ĉ symmetry invariant and symmetry breaking soliton solutions. J. Math. Phys. 59, 083507 (2018).
2. Lou, S. Y. Alice-Bob systems, P
s − T
d − C principles and multi-soliton solutions. arXiv: 1603.03975v2 (2016).
3. Jia, M. & Lou, S. Y. Exact P
sT
ds invariant and P
sT
d symmetric breaking solutions, symmetry reductions and Bäklund transformations for an AB-KdV system. Phys. Lett. A 382, 1157–1166 (2018).
4. Lou, S. Y. & Qiao, Z. J. Alice-Bob Peakon Systems. Chin. Phys. Lett. 34, 100201 (2017).
5. Lou, S. Y. & Huang, F. Alice-Bob Physics: Coherent Solutions of Nonlocal KdV Systems. Sci. Rep. 7, 869 (2017).
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