Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 89, Issue 5, Pages -Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-017-1474-0
Keywords
Kadomtsev-Petviashvili equation; lump solution; space-time structure; Hirota's bilinear method
Categories
Funding
- Educational Commission of Hunan Province of China [16c1307]
- Scientific Research Project of Education Department of Hunan Province [17C1297]
- Jishou University Natural Science Foundation [Jd16010]
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A periodic breather-wave solution is obtained using homoclinic test approach and Hirota's bilinear method with a small perturbation parameter u(0) for the (2+1)-dimensional generalized Kadomtsev-Petviashvili equation. Based on the periodic breather-wave, a lump solution is emerged by limit behaviour. Finally, three different forms of the space-time structure of the lump solution are investigated and discussed using the extreme value theory.
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