Document Type
Article
Publication Date
2020
Digital Object Identifier (DOI)
https://doi.org/10.1155/2020/6423205
Abstract
The Kadomtsev–Petviashvili equation is one of the well-studied models of nonlinear waves in dispersive media and in multicomponent plasmas. In this paper, the coupled Alice-Bob system of the Kadomtsev–Petviashvili equation is first constructed via the parity with a shift of the space variable x and time reversal with a delay. By introducing an extended Bäcklund transformation, symmetry breaking soliton, symmetry breaking breather, and symmetry breaking lump solutions for this system are presented through the established Hirota bilinear form. According to the corresponding constants in the involved ansatz function, a few fascinating symmetry breaking structures of the presented explicit solutions are shown.
Rights Information
This work is licensed under a Creative Commons Attribution 4.0 License.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Complexity, v. 2020, art. 6423205
Scholar Commons Citation
Wu, Hong-Yu; Fei, Jin-Xi; Ma, Zheng-Yi; Chen, Jun-Chao; and Ma, Wen-Xiu, "Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System" (2020). Mathematics and Statistics Faculty Publications. 49.
https://digitalcommons.usf.edu/mth_facpub/49
