From 2Mth-order wronskian determinant solutions to Mth-order lump solutions for the (2+1)-Dimensional Kadomtsev–Petviashvili I equation
Wave Motion, ISSN: 0165-2125, Vol: 104, Page: 102746
2021
- 4Citations
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Article Description
In this paper, the Mth-order lump solutions for the (2+1)-dimensional Kadomtsev–Petviashvili I equation are studied. Firstly, the Nth-order wronskian determinant solutions of the Hirota bilinear form of the (2+1)-dimensional Kadomtsev–Petviashvili I equation are given. Then, the 1st-order lump solution is obtained by making elementary transformations and taking limit to the 2nd-order wronskian determinant solution. Next, the 2nd-order lump and the 3rd-order lump solutions are also similarly derived. The dynamic properties and characteristics of these low-order lump solutions are presented by three-dimensional images and the corresponding contour plots. Finally, based on the character of Vandermond determinant, the determinant expression of the Mth-order lump solutions is constructed by making elementary transformations and taking limit to the 2Mth-order wronskian determinant solutions.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0165212521000445; http://dx.doi.org/10.1016/j.wavemoti.2021.102746; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85105692341&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0165212521000445; https://dx.doi.org/10.1016/j.wavemoti.2021.102746
Elsevier BV
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