Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation
By using the bifurcation theory of dynamical systems, we study the coupled Higgs field equation and the existence of new solitary wave solutions, and uncountably infinite many periodic wave solutions are obtained. Under different parametric conditions, various sufficient conditions to guarantee the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/547617 |
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| _version_ | 1832545796728291328 |
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| author | Shengqiang Tang Shu Xia |
| author_facet | Shengqiang Tang Shu Xia |
| author_sort | Shengqiang Tang |
| collection | DOAJ |
| description | By using the bifurcation theory of dynamical systems, we study the coupled Higgs field equation and the existence of new solitary wave solutions, and uncountably infinite many periodic wave solutions are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. All exact explicit parametric representations of the above waves are determined. |
| format | Article |
| id | doaj-art-835a1f8cf0934e918695efbfcd78be6d |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-835a1f8cf0934e918695efbfcd78be6d2025-02-03T07:24:48ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/547617547617Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field EquationShengqiang Tang0Shu Xia1School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaBy using the bifurcation theory of dynamical systems, we study the coupled Higgs field equation and the existence of new solitary wave solutions, and uncountably infinite many periodic wave solutions are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. All exact explicit parametric representations of the above waves are determined.http://dx.doi.org/10.1155/2011/547617 |
| spellingShingle | Shengqiang Tang Shu Xia Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation International Journal of Differential Equations |
| title | Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation |
| title_full | Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation |
| title_fullStr | Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation |
| title_full_unstemmed | Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation |
| title_short | Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation |
| title_sort | bifurcations of traveling wave solutions for the coupled higgs field equation |
| url | http://dx.doi.org/10.1155/2011/547617 |
| work_keys_str_mv | AT shengqiangtang bifurcationsoftravelingwavesolutionsforthecoupledhiggsfieldequation AT shuxia bifurcationsoftravelingwavesolutionsforthecoupledhiggsfieldequation |