Lump Solutions to the BKP Equation by Symbolic Computation
Document Type
Article
Publication Date
2016
Keywords
Hirota bilinear form, lump solution, BKP equation
Digital Object Identifier (DOI)
https://doi.org/10.1142/S0217979216400282
Abstract
Lump solutions are rationally localized in all directions in the space. A general class of lump solutions to the (2+1)-dimensional B-Kadomtsev–Petviashvili (BKP) equation is presented through symbolic computation with Maple. The Hirota bilinear form of the equation is the starting point in the computation process. Like the KP equation, the resulting lump solutions contain six arbitrary parameters. Two of the parameters are due to the translation invariances of the BKP equation with the independent variables, and the other four need to satisfy a nonzero determinant condition and the positivity condition, which guarantee analyticity and rational localization of the solutions.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
International Journal of Modern Physics B, v. 30, issue 28-29, art. 1640028
Scholar Commons Citation
Yang, Jing-Yun and Ma, Wen-Xiu, "Lump Solutions to the BKP Equation by Symbolic Computation" (2016). Mathematics and Statistics Faculty Publications. 109.
https://digitalcommons.usf.edu/mth_facpub/109
