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Multiple breathers and high-order rational solutions of the (3+1)-dimensional B-type Kadomtsev–Petviashvili equation

Na Liu

https://orcid.org/0000-0002-8612-7058

School of Business, Shandong University of Political Science and Law, Jinan 250014, China

E-mail Address: sna0531@126.com

Corresponding author.

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Xinhua Tang

School of Cyberspace Security, Shandong University of Political Science and Law, Jinan 250014, China

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, and

Weiwei Zhang

School of Science, Shandong Jianzhu University, Jinan 250101, China

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https://doi.org/10.1142/S0217984921505631Cited by:4 (Source: Crossref)

Abstract

This paper is devoted to obtaining the multi-soliton solutions, high-order breather solutions and high-order rational solutions of the (3+1)-dimensional B-type Kadomtsev–Petviashvili (BKP) equation by applying the Hirota bilinear method and the long-wave limit approach. Moreover, the interaction solutions are constructed by choosing appropriate value of parameters, which consist of four waves for lumps, breathers, rouges and solitons. Some dynamical characteristics for the obtained exact solutions are illustrated using figures.

Keywords:

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