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

Ting Su; Hui-Hui Dai

doi:10.1155/2017/2924947

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

Ting Su^*
, Hui-Hui Dai

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

5 Citations (Scopus)

62 Downloads (CityUHK Scholars)

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.

Original language	English
Article number	2924947
Journal	Mathematical Problems in Engineering
Volume	2017
DOIs	https://doi.org/10.1155/2017/2924947
Publication status	Published - 22 Jun 2017

Publisher's Copyright Statement

This full text is made available under CC-BY 4.0. https://creativecommons.org/licenses/by/4.0/

Access Output

10.1155/2017/2924947

15475980.pdfFinal Published version, 2.47 MBLicence: CC BY

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{6dbe1899c669467d8b336c8d4e1a4042,

title = "Theta Function Solutions of the 3 + 1-Dimensional Jimbo-Miwa Equation",

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.",

author = "Ting Su and Hui-Hui Dai",

year = "2017",

month = jun,

day = "22",

doi = "10.1155/2017/2924947",

language = "English",

volume = "2017",

journal = "Mathematical Problems in Engineering",

issn = "1024-123X",

publisher = "John Wiley \& Sons",

}

TY - JOUR

T1 - Theta Function Solutions of the 3 + 1-Dimensional Jimbo-Miwa Equation

AU - Su, Ting

AU - Dai, Hui-Hui

PY - 2017/6/22

Y1 - 2017/6/22

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85022087450

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85022087450&origin=recordpage

U2 - 10.1155/2017/2924947

DO - 10.1155/2017/2924947

M3 - RGC 21 - Publication in refereed journal

SN - 1024-123X

VL - 2017

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

M1 - 2924947

ER -

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

Abstract

Publisher's Copyright Statement

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this