New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Φ(ξ))-expansion method
The (1+1)-dimensional nonlinear Klein-Gordon-Zakharov equation considered as a model equation for describing the interaction of the Langmuir wave and the ion acoustic wave in high frequency plasma. By the execution of the exp(-Φ(ξ))-expansion, we obtain new explicit and exact traveling wave solution...
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2015-03-01
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| Series: | Propulsion and Power Research |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2212540X15000164 |
| _version_ | 1797709675496472576 |
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| author | M.G. Hafez M.A. Akbar |
| author_facet | M.G. Hafez M.A. Akbar |
| author_sort | M.G. Hafez |
| collection | DOAJ |
| description | The (1+1)-dimensional nonlinear Klein-Gordon-Zakharov equation considered as a model equation for describing the interaction of the Langmuir wave and the ion acoustic wave in high frequency plasma. By the execution of the exp(-Φ(ξ))-expansion, we obtain new explicit and exact traveling wave solutions to this equation. The obtained solutions include kink, singular kink, periodic wave solutions, soliton solutions and solitary wave solutions of bell types. The variety of structure and graphical representation make the dynamics of the equations visible and provides the mathematical foundation in plasma physics and engineering. |
| first_indexed | 2024-03-12T06:41:10Z |
| format | Article |
| id | doaj.art-6b6f509e24b84a418785e23eb945b69f |
| institution | Directory Open Access Journal |
| issn | 2212-540X |
| language | English |
| last_indexed | 2024-03-12T06:41:10Z |
| publishDate | 2015-03-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Propulsion and Power Research |
| spelling | doaj.art-6b6f509e24b84a418785e23eb945b69f2023-09-03T01:02:03ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2015-03-0141313910.1016/j.jppr.2015.02.002New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Φ(ξ))-expansion methodM.G. Hafez0M.A. Akbar1Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong-4349, BangladeshDepartment of Applied Mathematics, University of Rajshahi, Rajshahi-6205, BangladeshThe (1+1)-dimensional nonlinear Klein-Gordon-Zakharov equation considered as a model equation for describing the interaction of the Langmuir wave and the ion acoustic wave in high frequency plasma. By the execution of the exp(-Φ(ξ))-expansion, we obtain new explicit and exact traveling wave solutions to this equation. The obtained solutions include kink, singular kink, periodic wave solutions, soliton solutions and solitary wave solutions of bell types. The variety of structure and graphical representation make the dynamics of the equations visible and provides the mathematical foundation in plasma physics and engineering.http://www.sciencedirect.com/science/article/pii/S2212540X15000164Klein-Gordon-Zakharov equationExplicit solutionsSolitary wave solutionsSolitonsPeriodic wave solutions |
| spellingShingle | M.G. Hafez M.A. Akbar New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Φ(ξ))-expansion method Propulsion and Power Research Klein-Gordon-Zakharov equation Explicit solutions Solitary wave solutions Solitons Periodic wave solutions |
| title | New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Φ(ξ))-expansion method |
| title_full | New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Φ(ξ))-expansion method |
| title_fullStr | New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Φ(ξ))-expansion method |
| title_full_unstemmed | New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Φ(ξ))-expansion method |
| title_short | New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Φ(ξ))-expansion method |
| title_sort | new exact traveling wave solutions to the 1 1 dimensional klein gordon zakharov equation for wave propagation in plasma using the exp φ ξ expansion method |
| topic | Klein-Gordon-Zakharov equation Explicit solutions Solitary wave solutions Solitons Periodic wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2212540X15000164 |
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