Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation (Q1992557)
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scientific article; zbMATH DE number 6971922
| Language | Label | Description | Also known as |
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| English | Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation |
scientific article; zbMATH DE number 6971922 |
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Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation (English)
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5 November 2018
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Summary: 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 \(\Theta \)-function. With the help of the solution curves, the asymptotic properties of the periodic waves are analyzed in detail.
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