Frontiers of Mathematics in China >
Lump solutions and interaction solutions for -dimensional KPI equation
Received date: 29 Jun 2021
Accepted date: 12 Aug 2021
Published date: 15 Oct 2022
Copyright
The lump solutions and interaction solutions are mainly investigated for the -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-dimensional KPI equation. One type of the lump solutions for -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 -dimensional KPI equation are considered by the homoclinic test method via new test functions including more parameters than common test functions.
Yanfeng GUO , Zhengde DAI , Chunxiao GUO . Lump solutions and interaction solutions for -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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