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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Article number2924947
Journal / PublicationMathematical Problems in Engineering
Volume2017
Publication statusPublished - 22 Jun 2017

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

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