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

doi:10.1088/1674-1056/ac4cc0

中国物理B ›› 2022, Vol. 31 ›› Issue (7): 70201-070201.doi: 10.1088/1674-1056/ac4cc0

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

Hong-Cai Ma(马红彩)^†, Yi-Dan Gao(高一丹)^‡, and Ai-Ping Deng(邓爱平)

Department of Applied Mathematics, Donghua University, Shanghai 201620, China

收稿日期:2021-12-21 修回日期:2022-01-19 接受日期:2022-01-19 出版日期:2022-06-09 发布日期:2022-07-19
通讯作者: Hong-Cai Ma, Yi-Dan Gao E-mail:hongcaima@hotmail.com;gydana@163.com
基金资助:
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).

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

Hong-Cai Ma(马红彩)^†, Yi-Dan Gao(高一丹)^‡, and Ai-Ping Deng(邓爱平)

Department of Applied Mathematics, Donghua University, Shanghai 201620, China

Received:2021-12-21 Revised:2022-01-19 Accepted:2022-01-19 Online:2022-06-09 Published:2022-07-19
Contact: Hong-Cai Ma, Yi-Dan Gao E-mail:hongcaima@hotmail.com;gydana@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

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

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.

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

中图分类号: (Integrable systems)

02.30.Ik

04.20.Jb (Exact solutions) 04.30.Nk (Wave propagation and interactions) 05.45.Yv (Solitons)

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[J]. 中国物理B, 2022, 31(7): 70201-070201.

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

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

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