Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053341 | Applied Mathematics Letters | 2018 | 7 Pages |
Abstract
In this paper, we study the general lump-type solutions of the (3+1)-dimensional Jimbo-Miwa equation via Hirota bilinear method and the ansatz technique. In contrast with lump solutions presented before, we firstly find a general quadratic function solution of the transformed bilinear Jimbo-Miwa equation and then expand it as the sums of squares of linear functions to satisfy analyticity condition. Especially, we get a lump-type solution with fifteen parameters which possess eleven arbitrary independent parameters and four constraint conditions. This solution supplements the existing lump-type solutions obtained previously in the literature. Finally, we conclude that there are only two linearly independent non-constant linear functions in the summation for a positive quadratic function solution.
Related Topics
Physical Sciences and Engineering
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Authors
Xuelin Yong, Xijia Li, Yehui Huang,