Semantic Scholar Open Access 2017 29 sitasi

Coherent structure of Alice–Bob modified Korteweg de-Vries equation

Congcong Li S. Lou M. Jia

Lihat Sumber DOI

Abstrak

To describe two-place events, Alice–Bob systems have been established by means of the shifted parity and delayed time reversal in the preprint arXiv:1603.03975v2 [nlin.SI], (2016). In this paper, we mainly study exact solutions of the integrable Alice–Bob modified Korteweg de-Vries (AB-mKdV) system. The general Nth Darboux transformation for the AB-mKdV equation is constructed. By using the Darboux transformation, some types of shifted parity and time reversal symmetry breaking solutions including one-soliton, two-soliton, and rogue wave solutions are explicitly obtained. In addition to the similar solutions of the mKdV equation (group invariant solutions), there are abundant new localized structures for the AB-mKdV systems.

Topik & Kata Kunci

Physics Mathematics

Penulis (3)

Congcong Li

S. Lou

M. Jia

Format Sitasi

APA MLA BibTeX

Li, C., Lou, S., Jia, M. (2017). Coherent structure of Alice–Bob modified Korteweg de-Vries equation. https://doi.org/10.1007/s11071-017-3895-1

Akses Cepat

Lihat di Sumber doi.org/10.1007/s11071-017-3895-1

Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Total Sitasi: 29×
Sumber Database: Semantic Scholar
DOI: 10.1007/s11071-017-3895-1
Akses: Open Access ✓