DOAJ Open Access 2023

The symmetric breathers and lumps of the Boussinesq equation using the Alice–Bob transformation and Hirota’s bilinear derivative method

Li-Hong Jiang Hong-Yu Wu Peng Dong Zheng-Yi Ma

Abstrak

Many two-place physical problems can be explicitly presented as related events model named Alice–Bob systems. In this paper, an integrable Alice–Bob Boussinesq system is introduced via the Boussinesq equation with parameters, which may meet the symmetry transformation of Psˆx (parity with a shift) and Tdˆt (time reversal with a delay). After constructing an Bäcklund transformation, the system has rich symmetry solutions with the aid of auxiliary functions. The structures of obtained soliton solutions, such as the breathers, lumps and their hybrids, are all satisfied the Pˆsx or Tˆdt symmetry. To illustrate the symmetric characteristic, some lower-order solutions and the related dynamic structures are explicitly presented. The residual symmetry and its finite transformation for this system are also verified.

Topik & Kata Kunci

Physics

Penulis (4)

Li-Hong Jiang

Hong-Yu Wu

Peng Dong

Zheng-Yi Ma

Format Sitasi

APA MLA BibTeX

Jiang, L., Wu, H., Dong, P., Ma, Z. (2023). The symmetric breathers and lumps of the Boussinesq equation using the Alice–Bob transformation and Hirota’s bilinear derivative method. https://doi.org/10.1016/j.rinp.2023.106791

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1016/j.rinp.2023.106791
Akses: Open Access ✓