Journal
MODERN PHYSICS LETTERS B
Volume 33, Issue 10, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984919501264
Keywords
Lump solution; GKP equation; Hirota bilinear form
Funding
- National Natural Science Foundation of China [61273077, 11371326, 11371361, 11271008, 11301454, 11271168, 61771174]
- Zhejiang Provincial Natural Science Foundation of China [LQ12A01002]
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A new generalized Kadomtsev-Petviashvili (GKP) equation is derived from a bilinear differential equation by taking the transformation u = 2(ln f)(x). By symbolic computation with Maple, lump solutions, rationally localized in all directions in the space, to the GKP equation are presented. The obtained lump solutions contain a set of six free parameters, four of which should satisfy a nonzero determinant condition. As special examples, six particular lump solutions are constructed and depicted with t = 1.
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