RESEARCH ARTICLE

Lump solutions and interaction solutions for (2+1)-dimensional KPI equation

  • Yanfeng GUO , 1,2 ,
  • Zhengde DAI 3 ,
  • Chunxiao GUO 4
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  • 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

Received date: 29 Jun 2021

Accepted date: 12 Aug 2021

Published date: 15 Oct 2022

Copyright

2022 Higher Education Press

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.

Cite this article

Yanfeng GUO , Zhengde DAI , Chunxiao GUO . Lump solutions and interaction solutions for (2+1)-dimensional KPI equation[J]. Frontiers of Mathematics in China, 2022 , 17(5) : 875 -886 . DOI: 10.1007/s11464-021-0973-y

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