Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity
This paper addresses the Klein-Gordon-Zakharov equation with power law nonlinearity in (1+1)-dimensions. The integrability aspect as well as the bifurcation analysis is studied in this paper. The numerical simulations are also given where the finite difference approach was utilized. There are a few...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/972416 |
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| author | Ming Song Bouthina S. Ahmed Anjan Biswas |
| author_facet | Ming Song Bouthina S. Ahmed Anjan Biswas |
| author_sort | Ming Song |
| collection | DOAJ |
| description | This paper addresses the Klein-Gordon-Zakharov equation with power law nonlinearity in (1+1)-dimensions. The integrability aspect as well as the bifurcation analysis is studied in this paper. The numerical simulations are also given where the finite difference approach was utilized. There are a few constraint conditions that naturally evolve during the course of derivation of the soliton solutions. These constraint conditions must remain valid in order for the soliton solution to exist. For the bifurcation analysis, the phase portraits are also given. |
| format | Article |
| id | doaj-art-fd153ff30b79414cabefb443cba28127 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fd153ff30b79414cabefb443cba281272025-08-20T02:22:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/972416972416Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law NonlinearityMing Song0Bouthina S. Ahmed1Anjan Biswas2Department of Mathematics, Yuxi Normal University, Yuxi, Yunnan 653100, ChinaDepartment of Mathematics, Girls' College, Ain Shams University, Cairo 11757, EgyptDepartment of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USAThis paper addresses the Klein-Gordon-Zakharov equation with power law nonlinearity in (1+1)-dimensions. The integrability aspect as well as the bifurcation analysis is studied in this paper. The numerical simulations are also given where the finite difference approach was utilized. There are a few constraint conditions that naturally evolve during the course of derivation of the soliton solutions. These constraint conditions must remain valid in order for the soliton solution to exist. For the bifurcation analysis, the phase portraits are also given.http://dx.doi.org/10.1155/2013/972416 |
| spellingShingle | Ming Song Bouthina S. Ahmed Anjan Biswas Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity Journal of Applied Mathematics |
| title | Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity |
| title_full | Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity |
| title_fullStr | Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity |
| title_full_unstemmed | Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity |
| title_short | Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity |
| title_sort | topological soliton solution and bifurcation analysis of the klein gordon zakharov equation in 1 1 dimensions with power law nonlinearity |
| url | http://dx.doi.org/10.1155/2013/972416 |
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