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

الملخص EN

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 Θ-function.

With the help of the solution curves, the asymptotic properties of the periodic waves are analyzed in detail.