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

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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… Click to show full 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.

Keywords: function; jimbo miwa; dimensional jimbo; miwa equation

Journal Title: Mathematical Problems in Engineering
Year Published: 2017

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