A class of lump solutions and localized excitations for the generalized (3 + 1)-dimensional KP equation
Based on symbolic computation and Hirota bilinear form, a class of lump solutions for the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation is given. As a result, the lump solution shows a new perspective to knowledge them. Meanwhile, variable separation solutions are also constr...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-12-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379720317319 |
| Summary: | Based on symbolic computation and Hirota bilinear form, a class of lump solutions for the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation is given. As a result, the lump solution shows a new perspective to knowledge them. Meanwhile, variable separation solutions are also constructed by applying a simple ansatz method. These variable separation solutions contain the shock solution, the peakon-type breather solution and the periodic solution. They showed some special localized structures in 2D and 3D-plots. |
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| ISSN: | 2211-3797 |