Digital Object Identifier (DOI)
A (2+1)-dimensional ffh-order KdV-like equation is introduced through a generalized bilinear equation with the prime number p = 5. Te new equation possesses the same bilinear form as the standard (2+1)-dimensional ffh-order KdV equation. By Maple symbolic computation, classes of lump solutions are constructed from a search for quadratic function solutions to the corresponding generalized bilinear equation. We get a set of free parameters in the resulting lump solutions, of which we can get a nonzero determinant condition ensuring analyticity and rational localization of the solutions. Particular classes of lump solutions with special choices of the free parameters are generated and plotted as illustrative examples.
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Citation / Publisher Attribution
Advances in Mathematical Physics, v. 2018, art. 2062398
Scholar Commons Citation
Batwa, Sumayah and Ma, Wen-Xiu, "Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation" (2018). Mathematics and Statistics Faculty Publications. 18.