Solutions of novel soliton molecules and their interactions of (2 + 1)-dimensional potential Boiti-Leon-Manna-Pempinelli equation

doi:10.1088/1674-1056/ac4cc0

Abstract The method of variable separation has always been regarded as a crucial method for solving nonlinear evolution equations. In this paper, we use a new form of variable separation to study novel soliton molecules and their interactions in (2+1)-dimensional potential Boiti-Leon-Manna-Pempinelli equation. Dromion molecules, ring molecules, lump molecules, multi-instantaneous molecules, and their interactions are obtained. Then we draw corresponding images with maple software to study their dynamic behavior.

Keywords: variable separation method Hirota bilinear method dromion solution (2+1)-dimensional potential Boiti-Leon-Manna-Pempinelli equation

Received: 21 December 2021
Revised: 19 January 2022
Accepted manuscript online: 19 January 2022

PACS:	02.30.Ik	(Integrable systems)
	04.20.Jb	(Exact solutions)
	04.30.Nk	(Wave propagation and interactions)
	05.45.Yv	(Solitons)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11371086, 11671258, and 11975145) and the Fund of Science and Technology Commission of Shanghai Municipality (Grant No. 13ZR1400100).

Corresponding Authors: Hong-Cai Ma, Yi-Dan Gao
E-mail: hongcaima@hotmail.com;gydana@163.com

Cite this article:

Hong-Cai Ma(马红彩), Yi-Dan Gao(高一丹), and Ai-Ping Deng(邓爱平) Solutions of novel soliton molecules and their interactions of (2 + 1)-dimensional potential Boiti-Leon-Manna-Pempinelli equation 2022 Chin. Phys. B 31 070201

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Solutions of novel soliton molecules and their interactions of (2 + 1)-dimensional potential Boiti-Leon-Manna-Pempinelli equation

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