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doi:10.1007/s11464-021-0973-y

Front. Math. China

2022, Vol. 17

Issue (5) : 875-886 https://doi.org/10.1007/s11464-021-0973-y

RESEARCH ARTICLE

Lump solutions and interaction solutions for

(2 + 1)

-dimensional KPI equation

Yanfeng GUO^1,²(

), Zhengde DAI³, Chunxiao GUO⁴

¹. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
². School of Science, Guangxi University of Science and Technology, Liuzhou 545006, China
³. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
⁴. School of Science, China University of Mining and Technology, Beijing 100083, China

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Abstract

The lump solutions and interaction solutions are mainly investigated for the $(2 + 1)$ -dimensional KPI equation. According to relations of the undetermined parameters of the test functions, the N-soliton solutions are showed by computations of the Maple using the Hirota bilinear form for $(2 + 1)$ -dimensional KPI equation. One type of the lump solutions for $(2 + 1)$ -dimensional KPI equation has been deduced by the limit method of the N-soliton solutions. In addition, the interaction solutions between the lump and N-soliton solutions of it are studied by the undetermined interaction functions. The sufficient conditions for the existence of the interaction solutions are obtained. Furthermore, the new breather solutions for the $(2 + 1)$ -dimensional KPI equation are considered by the homoclinic test method via new test functions including more parameters than common test functions.

Keywords Lump solutions (2+1)-dimensional KPI equation')" href="#">

(2 + 1)

-dimensional KPI equation interaction solutions N-soliton solutions breather solutions

Corresponding Author(s): Yanfeng GUO

Issue Date: 28 December 2022

Cite this article:

Yanfeng GUO,Zhengde DAI,Chunxiao GUO. Lump solutions and interaction solutions for

(2 + 1)

-dimensional KPI equation[J]. Front. Math. China, 2022, 17(5): 875-886.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0973-y
https://academic.hep.com.cn/fmc/EN/Y2022/V17/I5/875

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