New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation
Based on the Hirota bilinear method and theta function identities, we obtain a new type of doubly periodic standing wave solutions for a coupled Higgs field equation. The Jacobi elliptic function expression and long wave limits of the periodic solutions are also presented. By selecting appropriate p...
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Online Access: | http://dx.doi.org/10.1155/2014/769561 |
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doaj-c3b052779823448b8068a5d3358155932020-11-24T23:48:40ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/769561769561New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field EquationGui-qiong Xu0Department of Information Management, College of Management, Shanghai University, Shanghai 200444, ChinaBased on the Hirota bilinear method and theta function identities, we obtain a new type of doubly periodic standing wave solutions for a coupled Higgs field equation. The Jacobi elliptic function expression and long wave limits of the periodic solutions are also presented. By selecting appropriate parameter values, we analyze the interaction properties of periodic-periodic waves and periodic-solitary waves by some figures.http://dx.doi.org/10.1155/2014/769561 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Gui-qiong Xu |
spellingShingle |
Gui-qiong Xu New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation Abstract and Applied Analysis |
author_facet |
Gui-qiong Xu |
author_sort |
Gui-qiong Xu |
title |
New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation |
title_short |
New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation |
title_full |
New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation |
title_fullStr |
New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation |
title_full_unstemmed |
New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation |
title_sort |
new types of doubly periodic standing wave solutions for the coupled higgs field equation |
publisher |
Hindawi Limited |
series |
Abstract and Applied Analysis |
issn |
1085-3375 1687-0409 |
publishDate |
2014-01-01 |
description |
Based on the Hirota bilinear method and theta function identities, we obtain a new type of doubly periodic standing wave solutions for a coupled Higgs field equation. The Jacobi elliptic function expression and long wave limits of the periodic solutions are also presented. By selecting appropriate parameter values, we analyze the interaction properties of periodic-periodic waves and periodic-solitary waves by some figures. |
url |
http://dx.doi.org/10.1155/2014/769561 |
work_keys_str_mv |
AT guiqiongxu newtypesofdoublyperiodicstandingwavesolutionsforthecoupledhiggsfieldequation |
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1725485221254529024 |