Frontiers of Mathematics in China >
Lump solutions to a generalized Hietarinta-type equation via symbolic computation
Received date: 01 Mar 2019
Accepted date: 03 Jun 2020
Published date: 15 Jun 2020
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Lump solutions are one of important solutions to partial differential equations, both linear and nonlinear. This paper aims to show that a Hietarinta-type fourth-order nonlinear term can create lump solutions with second-order linear dispersive terms. The key is a Hirota bilinear form. Lump solutions are constructed via symbolic computations with Maple, and specific reductions of the resulting lump solutions are made. Two illustrative examples of the generalized Hietarinta-type nonlinear equations and their lumps are presented, together with three-dimensional plots and density plots of the lump solutions.
Sumayah BATWA , Wen-Xiu MA . Lump solutions to a generalized Hietarinta-type equation via symbolic computation[J]. Frontiers of Mathematics in China, 2020 , 15(3) : 435 -450 . DOI: 10.1007/s11464-020-0844-y
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