• Localized structures for $(2+1)$-dimensional Boiti–Leon–Pempinelli equation

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/081/03/0367-0376

• # Keywords

Rogue waves; Painlevé test; a singular manifold method; soliton.

• # Abstract

It is shown that Painlevé integrability of $(2+1)$-dimensional Boiti–Leon–Pempinelli equation is easy to be verified using the standard Weiss–Tabor–Carnevale (WTC) approach after introducing the Kruskal’s simplification. Furthermore, by employing a singular manifold method based on Painlevé truncation, variable separation solutions are obtained explicitly in terms of two arbitrary functions. The two arbitrary functions provide us a way to study some interesting localized structures. The choice of rational functions leads to the rogue wave structure of Boiti–Leon–Pempinelli equation. In addition, for the other choices, it is observed that two solitons may evolve into breather after interaction. Also, the interaction between two kink compactons is investigated.

• # Author Affiliations

1. College of Mathematics and Information Science, Qujing Normal University, Qujing 655011, People’s Republic of China
2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, People’s Republic of China
3. Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou, Guangxi 545005, People’s Republic of China

• # Pramana – Journal of Physics

Volume 96, 2022
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Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019