Theta Function Solutions of the 3 + 1-Dimensional Jimbo-Miwa Equation

Ting Su and Hui-Hui Dai

Mathematical Problems in Engineering, 2017, vol. 2017, 1-9

Abstract:

The 3 + 1-dimensional Jimbo-Miwa equation can be written into a Hirota bilinear form by the dependent variable transformation. We give its one-periodic wave solution and two-periodic wave solution by utilizing multidimensional elliptic -function. With the help of the solution curves, the asymptotic properties of the periodic waves are analyzed in detail.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2924947

DOI: 10.1155/2017/2924947

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