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

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  • Ting Su
  • Hui-Hui Dai

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.

Suggested Citation

  • Ting Su & Hui-Hui Dai, 2017. "Theta Function Solutions of the 3 + 1-Dimensional Jimbo-Miwa Equation," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-9, June.
    • Handle: RePEc:hin:jnlmpe:2924947
    DOI: 10.1155/2017/2924947
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