The symmetry breaking solutions of the nonlocal Alice–Bob B-type Kadomtsev–Petviashvili system

• Published in: Results in physics Vol. 49; p. 106475
• Main Authors: Dong, Peng, Ma, Zheng-Yi, Wu, Hui-Ling, Zhu, Quan-Yong
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.06.2023; Elsevier
• Subjects: (2+1)-dimensional B-type Kadomtsev–Petviashvili equation; Alice–Bob system; Bäcklund transformation; Hybrid structure; Symmetry breaking solution; (2+1)-dimensional B-type Kadomtsev–Petviashvili equation; Alice–Bob system; Hybrid structure; Bäcklund transformation; Symmetry breaking solution
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2023.106475

The (2+1)-dimensional B-type Kadomtsev–Petviashvili equation is an integrable model, which can be used to describe the shallow water wave in a fluid. In this paper, the nonlocal Alice–Bob B-type Kadomtsev–Petviashvili system is induced via the principle of PˆsxPˆsyTˆd symmetry. An extended Bäcklund transformation introduced, the symmetry breaking solution, which contains the soliton, breather, lump and their hybrid structures for this system, is solved through the Hirota bilinear form. •The nonlocal Alice–Bob system is induced via the principle of PT symmetry.•An extended Bäcklund transformation is introduced through the Hirota bilinear form.•The symmetry breaking solutions are solved for the obtained system.