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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Main Author: Gui-qiong Xu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/769561
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spelling 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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